PUTNAM NEW JERSEY TAX EXEMPT INCOME FUND
N-30D, 1995-07-28
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Putnam 
New Jersey 
Tax Exempt 
Income Fund 

ANNUAL REPORT 
May 31, 1995 
                                [PUTNAM LOGO] 
                    B O S T O N * L O N D O N * T O K Y O 

<PAGE>
 
Performance highlights 

> "The gap is narrowing between Treasury and municipal yields, making munis 
  look increasingly attractive. Among municipal-bond experts, there is little 
  concern that any radical change in the tax system could happen before 1997 
  and plenty of doubt that any such revolution will happen at all." 

- --The Wall Street Journal, May 19, 1995 

FISCAL 1995 RESULTS AT A GLANCE 

<TABLE>
<CAPTION>
                                                   Class A              Class B 
<S>                     <C>     <C>         <C>         <C>        <C>      <C>
Total return:                                   NAV        POP        NAV      CDSC 
 ........................................................................................... 
(change in value during period 
  plus reinvested distributions) 
  11 months ended 5/31/95                     8.25%       3.07%     7.51%       2.51% 

                                                           
                                          Class A         Class B        Class M 
Share value:                          NAV       POP         NAV       NAV         POP 
 ........................................................................................... 
6/30/94                           $8.75       $9.19      $8.75         --          -- 
5/1/95                               --          --         --      $8.74       $9.03 
5/31/95                            8.98        9.43       8.97       8.98        9.28 

Distributions:          No.       Income       Capital gains(1)           Total 
 ........................................................................................... 
Class A                  11     $0.460401             --                $0.460401 
Class B                  11      0.410132             --                 0.410132 
Class M                   1      0.040342             --                 0.040342 

                                            Class A                     Class B 
Current return:                       NAV            POP                  NAV 
 ........................................................................................... 
(end of period:) 
Current dividend rate(2)            5.42%            5.16%                 4.80% 
Taxable equivalent(3)               9.60             9.14                  8.51 
Current 30-day SEC yield(4)         5.58             5.31                  4.86 
Taxable equivalent(3)               9.89             9.41                  8.61 

</TABLE>

Performance data represent past results, are no indication of future results 
and will differ for each share class. For performance over longer periods, 
see pages 8 and 9. POP assumes a 4.75% maximum sales charge for class A 
shares and 3.25% for class M shares. Class B shares assume a 5% maximum CDSC. 
Effective 1/4/93, the fund began offering class B shares, and on 5/1/95, 
class M shares. Performance for class M shares not shown due to brevity of 
reporting period. (1)Capital gains, if any, are taxable for federal and, in 
most cases, state purposes. (2)Income portion of most recent distribution, 
annualized and divided by NAV or POP at end of period. (3)Assumes maximum 
43.57% federal and state tax rate. Results for investors subject to lower tax 
rates would not be as advantageous. For some investors, investment income may 
also be subject to the federal alternative minimum tax. (4)Based only on 
investment income, calculated using SEC guidelines. 

<PAGE>
 
From the Chairman 

[Photo of George Putnam] 
(c) Karsh, Ottawa 

Dear Shareholder: 

You may not have noticed, but this annual report for Putnam New Jersey Tax 
Exempt Income Fund has arrived somewhat earlier than usual. Putnam Management 
has decided to realign many of its tax-exempt bond funds' fiscal years so 
they have common fiscal year ends. 

Your fund was among those affected by this change. In the future its fiscal 
year will end on May 31, instead of June 30, as in the past. Consequently, 
this report covers a fiscal period of only 11 months, instead of a full 
fiscal year. 

The change should provide considerable savings for your fund in the future. 
We believe it will allow us to take advantage of economies of scale in 
financial reporting, accounting, literature production, and the like. 

We are also pleased to announce the appointment of Triet Nguyen as your 
fund's manager. Triet, who has been with Putnam since 1985, has 15 years of 
investment experience. 

In the report that follows, Triet reviews performance during this abbreviated 
period, then offers some insights on prospects for the months ahead. 

Respectfully yours, 

[Putnam Signature] 
George Putnam 

Chairman of the Trustees 
July 19, 1995 

<PAGE>
 
Report from the Fund Manager 
Triet M. Nguyen 

Like most fixed-income investments, Putnam New Jersey Tax Exempt Income Fund 
began its fiscal year in one of the most hostile bond market environments in 
recent memory. Fortunately, the year ended on a much brighter note. For the 
11 months ended May 31, 1995, your fund's total return was 8.25% for class A 
shares and 7.51% for class B shares, both at net asset value. 

Your fund's most important distinguishing factor, however, was the high level 
of current tax-free income it continued to provide. The fund's 12-month yield 
for the period ended May 31, 1995 was 5.58%, compared with the 5.15% average 
yield of the 39 New Jersey funds tracked by Lipper Analytical Services. 

Your fund weathered the market's ups and downs well. Initially, our defensive 
posture focusing on bonds with strong call protection and the use of hedging 
techniques helped reduce share price volatility. As the economy began to 
slow, shifts in duration and sector allocation boosted the fund's income 
stream. 

> ECONOMIC SLOWDOWN SPARKS MARKET RALLY 
For much of 1994, fixed-income markets were turned upside-down by the Federal 
Reserve Board's tighter stance on U.S. monetary policy and by bond investors' 
fears of inflation--all in response to accelerating economic growth. 
Ultimately, the Fed raised interest rates six times during the calendar year, 
and finally succeeded in calming inflation fears considerably. 

During the first quarter of 1995, the municipal-bond market, along with most 
other fixed-income investments, began to rally. Several factors contributed 
to this welcome change. First, some weakness had begun to emerge in housing 
sales and consumer spending; at last the U.S. economy appeared to be heading 
for a "soft landing," that is, a combination of steady growth and low 
inflation. Meanwhile, as the impact of the Mexican currency crisis began to 
fade, central banks around the world have been supporting the weak dollar by 
purchasing U.S. Treasury bonds. This helped spark a rally in Treasuries, 
which, in turn, produced a rally in the municipal bond market. 
<PAGE>

Economic data in April and May continued to support the notion that the U.S. 
economy was indeed slowing down, and the fixed-income market rally 
continued. At the same time, however, Congressional lawmakers began to 
consider proposals for tax reform. Concern about the potential effects of 
such legislation dampened investor demand for municipal securities somewhat 
toward the end of the fiscal year, although the market did continue to rally, 
albeit less vigorously. 

> FOCUSED ON INCOME AND AFTER-TAX RETURNS 
Your fund's primary goal is to maximize after-tax returns, and our tendency 
has been to preserve the fund's tax-free income stream through all kinds of 
market conditions. The prospect of tax reform ahead makes this focus on 
current income more appropriate than ever. Municipal securities are unlikely 
to appreciate much until these tax issues are settled, but tax-free income 
will continue to be highly prized, since few other investment tax shelters 
remain. 

In fact, the recent decline in demand for municipal securities has enhanced 
your fund's investment strategy. Municipals now offer some of the best values 
in years. Tax reform--if it occurs at all-- 

MUNICIPAL BOND PRICES 
<TABLE>
<CAPTION>
<S>      <C>           <C>
1994     May           91.160004 
         June          90.470001 
         July          92.190002 
         August        91.910004 
         September     89.129997 
         October       86.059998 
         November      82.940002 
         December      85.279999 
1995     January       88.190002 
         February      90.970001 
         March         91.190002 
         April         91.089996 
         May           94.059998 
</TABLE>

Source: Bond Buyer 40 Municipal Index, which represents the average price of 
40 actively traded municipal bonds. Data plotted monthly. Not intended to 
reflect performance of the fund. 

<PAGE>

will not likely take place until at least 1997, after the next presidential 
election. In the meantime, although we remain somewhat cautious, Putnam's 
superior research capabilities are enabling us to uncover some excellent 
buying opportunities. For example, we recently purchased some bonds issued by 
the Educational Testing Services, which runs the SAT, GMAT, LSAT, and other 
national tests. These new issues were available at an excellent value and 
offer solid current income for the fund. 

We have also begun to explore opportunities in the resource-recovery sector, 
where bonds are now selling at excellent values. Industries in this sector 
produce power by recycling trash, landfill, and other waste products. Certain 
legal restrictions just lifted by Congress have hampered companies in this 
sector, but it now has a very promising outlook. 

Health care continues to be a dominant theme in your fund's portfolio. 
Although the bearish fixed-income market of 1994 and issues of cost control 
and consolidation depressed health care bond performance for some time, the 
sector is now on an upward swing. 

> ACUTE SUPPLY SHORTAGE STRENGTHENS MARKET 
For some time, we have been discussing the prospect of an upcoming 
supply/demand imbalance that could be favorable for municipal bond funds like 
yours. At this point, supply of new and outstanding New Jersey municipal 
issues has reached an extreme low. 

In fact, 1995 will be the first year in which both the new and outstanding 
supply of municipal bonds across the country will shrink relative to the 
demand for these securities. Higher interest rates and a high debt load 
incurred by massive financing undertaken in the 1980's have discouraged 
municipalities from issuing new bonds or refinancing older ones. Already, 
municipal bond supply in the first quarter of 1995 has dropped 45% compared 
with new issuances and refinancings in the first quarter of 1994. In 
July-1995, a huge number of municipal issues will mature and be called out of 
the market. The resulting surge in demand appears 

<PAGE>
 
TOP INDUSTRY SECTORS (5/31/95)* 
Health Care       19.5% 
Transportation    17.5% 
Housing            6.0% 
Education          4.5% 
Utilities          4.2% 

*Based on net assets on 5/31/95. Holdings will vary over time.


likely to exceed the available supply of new municipal securities for the 
first time in history. While there can be no assurances, this huge inequity 
between supply and demand could help support stronger municipal bond 
performance ahead.

> OUTLOOK: ROOM FOR CAUTIOUS OPTIMISM 
Along with the Federal Reserve's Board of Governors, we believe it is too 
early to tell whether the economy is headed for the desired "soft landing" of 
moderate growth and low inflation or if the slowdown will be more dramatic. 
Either situation should lead to stable or declining interest rates, which 
would create a positive environment for fixed-income investments, including 
municipal securities. The big unknown is how the tax reform proposal now 
before Congress will affect municipal bond market psychology. 

Given this uncertainty, we will continue to emphasize current income by 
pursuing appropriate investment opportunities as they arise. At the same 
time, we will protect the fund's net asset value by keeping the portfolio 
average duration relatively neutral, rather than aggressively long. Although 
the market will probably remain somewhat volatile over the next few months, 
fundamentals remain exceptionally strong and we believe investors should 
continue to find the double tax-free returns of New Jersey municipal 
securities quite appealing. 

The views expressed about the securities mentioned in this report are 
exclusively those of Putnam Management they are not meant as investment 
advice. Although the described holdings were viewed favorably as of May 31, 
1995, there is no guarantee the fund will continue to hold these securities 
in the future. 

<PAGE>
 
PERFORMANCE SUMMARY 
This section provides, at a glance, information about your fund's 
performance. Total return shows how the value of the fund's shares changed 
over time, assuming you held the shares through the entire period and 
reinvested all distributions back into the fund. We show total return in two 
ways: on a cumulative long-term basis and on average how the fund might have 
grown each year over varying periods. 

Performance should always be considered in light of a fund's investment 
strategy. Putnam New Jersey Tax Exempt Income Fund is designed for investors 
seeking a high level of current income free from federal income taxes, and 
New Jersey personal income tax consistent with capital preservation. 

TOTAL RETURN FOR PERIODS ENDED 5/31/95 

<TABLE>
<CAPTION>
<S>                  <C>        <C>     <C>      <C>        <C>        <C>
                                                        Lehman Bros. 
                        Class A          Class B      Municipal Bond 
                     NAV        POP     NAV    CDSC        Index        CPI 
11 months             8.25%      3.07%    7.51%   2.51%      9.75%      2.84% 
1 year                7.78       2.67     6.98    1.98       9.11       3.19 
5 years              49.01      41.97       --      --      51.33      17.80 
Annual average        8.30       7.26       --      --       8.64       3.33 
Life of class A 
(2/20/90)            51.57      44.43       --      --      53.56      18.91 
Annual average        8.19       7.21       --      --       8.46       3.33 
Life of class B 
(1/4/93)                --         --    13.43    9.45      17.78       7.26 
Annual average          --         --     5.37    3.82       7.03       2.95 
</TABLE>

TOTAL RETURN FOR PERIODS ENDED 6/30/95 
(MOST RECENT CALENDAR QUARTER) 

<TABLE>
<CAPTION>
                                CLASS A         CLASS B 
                              NAV     POP     NAV     CDSC 
<S>                         <C>     <C>     <C>       <C>
1 year                       6.78%   1.67%   6.00%    1.00% 
5 years                     45.54   38.69      --       -- 
Annual average               7.79    6.76      --       -- 
Life of class 
  A 
(2/20/90)                   49.50   42.46      --       -- 
Annual average               7.79    6.82      --       -- 
Life of class 
  B 
(1/4/93)                       --      --   11.83     7.92 
Annual average                 --      --    4.59     3.11 
</TABLE>

Fund performance data do not take into account any adjustment for taxes 
payable on reinvested distributions. The fund began offering what are now 
known as Class A shares on 2/20/90. Effective 1/4/93 the fund began offering 
Class B shares. Performance of share classes will differ. Performance data 
represent past results. Investment returns and principal value will fluctuate 
so an investor's shares, when sold, may be worth more or less than their 
original cost. Performance for Class M shares, which were first offered on 
May 1, 1995 is not shown because of the brevity of the reporting period. 

<PAGE>
 
GROWTH OF A $10,000 INVESTMENT 
<TABLE>
<CAPTION>
 PUTNAM N.J.     LEHMAN BROS. 
  TAX EXEMPT    MUNICIPAL BOND      COST OF 
INCOME FUND A        INDEX        LIVING INDEX 
    <S>              <C>             <C>
     9525            10000           10000 
     9693            10147           10094 
    10699            11170           10594 
    11710            12267           10914 
    13194            13735           11266 
    13400            14074           11523 
    14443            15356           11891 
</TABLE>

Past performance is no assurance of future results. A $10,000 investment in 
the fund's class B shares at inception on 1/4/93 would have been valued at 
$11,343 on 5/31/95 ($10,945 with a redemption at the end of the period). 

TERMS AND DEFINITIONS 
Class A shares are generally subject to an initial sales charge. 

Class B shares may be subject to a sales charge upon redemption. 

Class M shares have a lower initial sales charge and a higher 12b-1 fee then 
class A shares and no sales charge on redemption. 

Net asset value (NAV) is the value of all your fund's assets, minus any 
liabilities, divided by the number of outstanding shares, not including any 
initial or contingent deferred sales charge. 

Public offering price (POP) is the price of a mutual fund share plus the 
maximum sales charge levied at the time of purchase. POP performance figures 
assume the maximum 4.75% sales charge for class A shares and 3.25% for class 
M shares. 

Contingent deferred sales charge (CDSC) is a charge applied at the time of 
the redemption of class B shares and assumes redemption at the end of the 
period. Your fund's CDSC declines from a 5% maximum during the first year to 
1% during the sixth year. After the sixth year, the CDSC no longer applies. 

COMPARATIVE BENCHMARKS 
Lehman Brothers Municipal Bond Index is an unmanaged list of long-term 
fixed-rate investment-grade tax-exempt bonds representative of the municipal 
bond market. The index does not take into account brokerage commissions or 
other costs, may include bonds different from those in the fund, and may pose 
different risks than the fund. 

Consumer Price Index (CPI) is a commonly used measure of inflation; it does 
not represent an investment return. 

<PAGE>
 
A Putnam perspective on risk and reward 

You've probably been told how important it is to understand the relationship 
between an investment's potential rewards and its accompanying risks. Given 
the cautionary nature of such instructions, it may take most investors a 
while to realize that risk has a positive side. 

Every risk signals a potential reward. Selecting only those investments that 
offer the greatest degree of security generally leads to only modest rewards. 
Furthermore, even insured or guaranteed investments may be subject to changes 
in their rates of return or, in some cases, in their principal values. 
Experienced investors know that no investment is truly risk free and are 
therefore willing to take on some measure of risk in order to increase their 
potential gains. 

The greater the risk, the greater the potential reward. 
Accepting an appropriate level of investment risk can give you a better 
chance of outpacing inflation over time and seeking to maximize your 
investment's return. How much risk? Your financial 

> A RUNDOWN OF RISK TYPES 
MARKET RISK 
Most important for stock funds, but relevant to all funds, this 
is a measure of how sensitive a fund's holdings are to changes in general 
market conditions. Remember, though, that securities that lose value quickly 
in market declines may also show the strongest gains in more favorable 
environments. 

INTEREST-RATE RISK Since bond prices fall as interest rates rise, this type 
of risk is a particular concern for fixed-income investors. However, 
interest-rate increases can also have a substantial negative effect on the 
stock market. 

INFLATION RISK If your investments cannot keep pace with inflation, your 
money will begin to lose its purchasing power. Stock investments are 
generally considered among the best ways of addressing inflation risk over 
the long term. 

<PAGE>
 
advisor's feedback and your time horizon can make all the difference in 
determining how much risk is compatible with your investment goals and your 
peace of mind. 

> FITTING YOUR FUND SELECTION TO YOUR 
  RISK TOLERANCE 

How do you find the right balance between investment risks and their 
potential rewards. It's helpful to understand the types of risks that can 
apply to different types of investments, and to look at your own portfolio 
with this perspective. 

For short-term goals, your first priority may be managing market risk. 
Longer-term investors may be more concerned with inflation risk. And all 
income-oriented investors should consider interest-rate, credit, and 
prepayment risks carefully. Within each of Putnam's four investment 
categories, you can select funds with differing levels of risk and reward 
potential to customize your portfolio. 

CREDIT AND PREPAYMENT RISK Credit risk is the concern that the security's 
issuer will not be able to meet its payment, while prepayment risk involves 
the premature payoff of a loan, with a resulting loss of interest income. 
Professional management and in-depth research are invaluable in managing both 
these risks. 

LIQUIDITY RISK Not all investments can be readily converted into cash at 
their perceived market values. Liquidity risk can affect the price of 
securities held in the fund's portfolio and, thus, the fund's share prices. 

This list covers only the most general types of risks; however, each 
investment will also have its own specific risks. You will find a more 
detailed discussion of these risk considerations in each fund's prospectus. 

<PAGE>
 
Relative risk/reward potential of Putnam funds 

These illustrations provide a simplified guide to the risk/reward potential 
for funds within each category of the Putnam Family of Funds and are not 
intended as investment advice. Your investment advisor can help you evaluate 
your risk tolerance. 

These rankings are relative only to Putnam funds and should not be compared 
to other investments. There is no guarantee that one Putnam fund will be less 
volatile than another, since each fund has its own investment risks. That's 
why it is essential to read the fund's prospectus before investing. 

PUTNAM GROWTH FUNDS 

Lower Risk Lower Reward Potential 

Investors   Diversified Equity(1)   Global Growth(1)   Vista   Natural 
Resources Health Sciences   Voyager   Overseas Growth(1)   Europe Growth(1) 
New Opportunities(2)   OTC Emerging Growth(2)   Asia Pacific Growth(1) 

Higher Risk Higher Reward Potential 

PUTNAM GROWTH AND INCOME FUNDS 

Lower Risk Lower Reward Potential 

Balanced Retirement   Utilities Growth and Income 
George Putnam   Convertible Income-Growth   Equity Income 
Fund for Growth and Income   Putnam Growth and Income Fund II 

Higher Risk Higher Reward Potential 

(1) Foreign investments are subject to certain risks, such as currency 
fluctuations and political developments, that are not present with domestic 
investments. 

(2) This fund invests all or a portion of its assets in small to medium-sized 
companies, which increases the risk of price fluctuations. 

(3) While U.S. government backing of individual securities does not insure 
your principal, which will fluctuate, it does guarantee that the fund's 
government-backed holdings will make timely payments of interest and 
principal. 

<PAGE>
 
PUTNAM INCOME FUNDS 
Lower Risk Lower Reward Potential 

Money Market(4)  Adjustable Rate U.S. Gov't.(3)  Intermediate U.S. 
Gov't.(3)   U.S. Gov't. Income(3)   American Gov't. Income(3) 
Federal Income (3)   Diversified Income (1, 3, 5)   Income 
Preferred Income   Global Gov't. (1.5)   High Yield(5) 
High Yield Advantage(5) 

Higher Risk Higher Reward Potential 

PUTNAM TAX-FREE FUNDS(6) 

Lower Risk Lower Reward Potential 

Tax Exempt Money Market(4)   Intermediate Tax Exempt   Tax-Free 
Insured(7)   Tax Exempt Income   Single-state tax-free funds* 
Municipal Income   Tax-Free High Yield (5) 

Higher Risk Higher Reward Potential 

*State tax-free funds available for Arizona, California, Florida, 
Massachusetts, Michigan, Minnesota, New Jersey, New York, Ohio, and 
Pennsylvania. Not available in all states. 

LIFESTAGE(SM) FUNDS 

Putnam Asset Allocation Funds--three investment portfolios that spread your 
money across a variety of stocks, bonds, and money market investments. The 
three portfolios are: 

> Putnam Asset Allocation: Balanced Portfolio 
> Putnam Asset Allocation: Conservative Portfolio 
> Putnam Asset Allocation: Growth Portfolio 

Please call your financial advisor -- or Putnam at 1-800-225-1581 -- to 
obtain a prospectus for any Putnam fund. The prospectus contains more 
complete information, including risk considerations, charges, and expenses. 
Read it carefully before you invest or send money. 

(4)The fund is managed to maintain a steady price of $1.00 per share, 
although there is no assurance this price can be maintained in the future. 

(5)The lower credit ratings of high-yield corporate and municipal bonds 
reflect a greater possibility that adverse changes in the economy or their 
issuers may affect their ability to pay principal and interest on the bonds. 

(6)Income may be subject to state and local taxes. Capital gains, if any, are 
taxable for federal and, in most cases, state purposes. 

(7)Bond insurance does not guarantee principal or protect against changes in 
market price. 

<PAGE>
 
Report of Independent Accountants 
eleven months ended May 31, 1995

To the Trustees and Shareholders of 
Putnam New Jersey Tax Exempt Income Fund 

We have audited the accompanying statement of assets and liabilities of 
Putnam New Jersey Tax Exempt Income Fund, including the portfolio of 
investments owned, as of May 31, 1995, and the related statement of 
operations for the eleven months then ended, the statement of changes in net 
assets for the eleven months then ended and the year ended June 30, 1994, and 
the "Financial Highlights" for each of the periods indicated therein. These 
financial statements and "Financial Highlights" are the responsibility of the 
fund's management. Our responsibility is to express an opinion on these 
financial statements and financial highlights based on our audits. 

We conducted our audits in accordance with generally accepted auditing 
standards. Those standards require that we plan and perform the audit to 
obtain reasonable assurance about whether the financial statements and 
"Financial Highlights" are free of material misstatement. An audit includes 
examining on a test basis, evidence supporting the amounts and disclosures in 
the financial statements. Our procedures included confirmation of securities 
owned as of May 31, 1995 by correspondence with the custodian and brokers. An 
audit also includes assessing the accounting principles used and significant 
estimates made by management, as well as evaluating the overall financial 
statement presentation. We believe that our audits provide a reasonable basis 
for our opinion. 

In our opinion, the financial statements and "Financial Highlights" referred 
to above present fairly, in all material respects, the financial position of 
Putnam New Jersey Tax Exempt Income Fund as of May 31, 1995, the results of 
its operations for the eleven months then ended, the changes in its net 
assets for the eleven months then ended and for the year ended June 30, 1994, 
and the "Financial Highlights" for each of the periods indicated therein, in 
conformity with generally accepted accounting principles. 

                                                      Coopers & Lybrand L.L.P. 
Boston, Massachusetts 
July 14, 1995 
<PAGE>
 
Portfolio of investments owned 
May 31, 1995 


MUNICIPAL BONDS AND NOTES (97.6%)* 
<TABLE>
<CAPTION>
<S>                                                                             <C>            <C> 
PRINCIPAL AMOUNT                                                                RATINGS**       VALUE 

Key to Abbreviations 
AMBAC             -- American Municipal Bond Assurance Corporation 
COP               -- Certificate of Participation 
GNMA Coll.        -- Government National Mortgage Association Collateralized 
G.O. Bonds        -- General Obligation Bonds 
FGIC              -- Federal Guarantee Insurance Corporation 
FHA               -- Federal Housing Administration Insured 
FSA               -- Financial Security Assurance 
IFB               -- Inverse Floating Bond 
MBIA              -- Municipal Bond Assurance Corporation 
</TABLE>


<TABLE>
<CAPTION>
<S>             <C>                                                                <C>     <C>
 New Jersey (83.4%) 
$ 1,000,000     Atlantic City, Muni. Utils. Auth. Wtr. Rev. Bonds, 
                 7-3/4s, 5/1/17                                                       A    $ 1,147,500 
                Atlantic Cnty. COP 
  2,000,000      FGIC, 7.4s, 3/1/10                                                 AAA      2,392,500 
  1,000,000      (Pub. Facs. Lease Agreement), FGIC, 7.4s, 3/1/09                   AAA      1,192,500 
  4,250,000     Camden Cnty., Impt. Auth. Rev. Bonds (acquired 4/12/94 cost 
                $4,250,000), 8.4s, 4/1/24++                                        BB/P      4,441,250 
  1,200,000     Middle Township Sch. Dist. Rev. Bonds, FGIC, 7s, 7/15/06            AAA      1,383,000 
  2,000,000     Middlesex Cnty., Poll. Control Auth. Rev. Bonds, 6-7/8s, 12/1/22  BBB/P    2,087,500 
  3,000,000     Middlesex Cnty., Utils. Auth. Swr. Rev. IFB, Ser. A, MBIA, 7.95s, 
                8/15/10#                                                            AAA      3,225,000 
  1,338,000     Morris Cnty., G.O. Bonds, 5-1/8s, 5/13/11                           AAA      1,287,825 
                NJ Bldg. Auth. State Bldg. Rev. Bonds 
  3,750,000      5s, 6/15/18                                                         AA      3,407,813 
  7,000,000      MBIA, 5s, 6/15/17                                                  AAA      6,396,250 
  1,000,000     NJ Econ. Dev. Auth. 1st Mtge. Gross Rev. Bonds (Stone Arch Nursing 
                Home Project), 8-3/4s, 12/1/10                                     BB/P      1,077,500 
 11,105,000     NJ Econ. Dev. Auth. Elec. Energy Fac. Rev. Bonds (Vineland 
                Cogeneration L.P. Project), 7-7/8s, 6/1/19                         BB/P     11,993,400 
  5,000,000     NJ Econ. Dev. Auth. Hlth. Care Fac. Rev. Bonds (Ocean Nursing 
                Pavilion), Ser. A, 7-3/8s, 12/1/25                                 BB/P      4,956,250 
                NJ Econ. Dev. Auth. Natural Gas Fac. Rev. Bonds 
                (NJ Natural Gas Co. Project) 
  2,500,000      9s, 12/1/17                                                          A      2,800,000 
  2,500,000      Ser. 84A, 7.05s, 3/1/16                                              A      2,665,625 
                NJ Econ. Dev. Auth. Rev. Bonds 
  2,800,000      (Stolt Terminals Project), 10-1/2s, 1/15/18                       BB/P      3,174,500 
  4,550,000      (Holt Hauling Co.), Ser. D, 10-1/4s, 9/15/14                       Aaa      4,902,625 
  5,000,000      (Tevco Inc. Project), 8-1/8s, 10/1/09                              A/P      5,618,750 
  3,260,000      (Cadbury Corp.), 8s, 7/1/15                                       BB/P      3,337,425 
  1,200,000      (Ninette Group L P Project), 7-3/4s, 8/1/11                          A      1,290,000 
  2,000,000      (Hartz Mountain Industries, Inc.), 7s, 2/1/14                        A      2,207,500 
  3,185,000      (Lakewood School), Ser. R, 6.9s, 12/1/11                            Aa      3,435,819 
  1,500,000      (NJ Performing Arts Ctr.), 6-3/4s, 6/15/12                           A      1,597,500 
  3,040,000      (Insd. Edl. Testing Svcs.), Ser. A, 5.9s, 5/15/15                  AAA      3,066,600 
  1,635,000      (American Wtr. Co. Project), FGIC, Ser. A, 5.35s, 6/1/23           AAA      1,547,119 
  4,500,000     NJ Econ. Dev. Auth. St. Contract Rev. Bonds, zero %, Ser. A, 
                9/15/13                                                             AAA      1,591,875 

<PAGE>
 
New Jersey (continued) 
$ 2,925,000     NJ Econ. Dev. Auth. Waste Paper Recycling Rev. Bonds (Marcal 
                Paper Mills Inc. Project), 8-1/2s, 2/1/10                          BB/P    $ 3,334,500 
                NJ Hlth. Care Fac. Fin. Auth. Rev. Bonds 
  1,300,000      (Gen. Hosp. Ctr.-Passaic Inc.), Ser. B, 10-3/8s, 7/1/14            BBB      1,345,747 
  4,300,000      (Dover Gen. Hosp. & Med. Ctr.), Issue C, 9s, 7/1/12                  A      4,403,759 
  4,250,000      (St. Elizabeth Hosp.), Ser. B, 8-1/4s, 7/1/20                      Baa      4,563,438 
  3,095,000      (Jersey Shore Med. Ctr.), AMBAC, 8s, 7/1/18                        AAA      3,466,400 
  2,000,000      (Kimball Med. Ctr.), Ser. C, 8s, 7/1/13                            Baa      2,125,000 
  1,000,000      (East Orange Gen. Hosp.), Ser. B, 7-3/4s, 7/1/20                   BBB      1,062,500 
  4,720,000      (Kimball Med. Ctr.), 7.3s, 7/1/99                                  Baa      4,820,300 
  9,000,000      (Raritan Bay Med. Ctr.) 7-1/4s, 7/1/27                            BB/P      8,943,750 
  3,300,000      (Christ Hosp. Group) 7s, 7/1/06                                    AAA      3,729,000 
  5,000,000      (Gen. Hosp. Ctr.-Passaic Inc.), FSA, 6-3/4s, 7/1/19                AAA      5,437,500 
  1,070,000      (Union Hosp./Mega Care Inc.), 5-7/8s, 7/1/14                       Baa        988,413 
  4,400,000      (St. Mary's Hosp.), 5-7/8s, 7/1/12                                 Baa      4,075,500 
  5,325,000      (Union Hosp./Mega Care Inc.), 5-7/8s, 7/1/07                       Baa      5,098,688 
  7,285,000      (Somerset Med. Ctr.), Ser. A, FGIC, 5.2s, 7/1/24                   AAA      6,665,775 
  3,500,000      (St. Peters Med. Ctr.), Ser. F, MBIA, 5s, 7/1/21                   AAA      3,119,375 
  3,425,000     NJ Sports & Exposition Auth. Convention Ctr. Luxury Tax Rev. 
                Bonds, Ser. A, MBIA, 5-1/2s, 7/1/22                                 AAA      3,369,344 
                NJ State G.O. Bonds 
 12,800,000      FGIC, 6s, 2/15/11                                                  AAA     13,600,000 
  5,000,000      FGIC, zero %, 2/15/07                                              AAA      2,693,750 
                NJ State Hsg. & Mtge. Fin. Agcy. Rev. Bonds 
  3,000,000      IFB, Ser. I, (acquired $2,000,000 par 2/11/93 cost $2,068,074, 
                acquired $1,000,000 par 6/14/93 cost $1,061,250) 7.717s, 11/1/07++    A      3,318,750 
  1,745,000      (Home Buyer Project), Ser. D, MBIA, 7.7s, 10/1/29                  AAA      1,845,338 
                NJ State Hwy. Auth. Gen. Rev. Bonds 
  1,500,000      (Garden State Pkwy. Project), 6.2s, 1/1/10                          AA      1,608,750 
  2,370,000      (Garden State Pkwy. Project), 6s, 1/1/19                           Aaa      2,541,825 
                NJ State Tpk. Auth. Rev. Bonds,    
  1,800,000      (acquired 3/27/92, cost $1,817,856) 8.22921s, 1/1/16++             AAA      2,184,750 
 20,000,000      Ser. C, 6-1/2s, 1/1/16                                             AAA     22,200,000 
  5,000,000     NJ State Trans. Trust Fund Auth. Trans. Syst. Rev. Bonds, Ser. 
                A, MBIA, 6-1/4s, 12/15/03                                           AAA      5,462,500 
 10,870,000     NJ Wastewater Treatment Trust Rev. Bonds, zero %, Ser. A, 9/1/07    AAA      5,747,513 
  1,800,000     Passaic Valley, Cmnty. Wtr. Supply Rev. Bonds, Ser. A., FGIC, 
                6.4s, 12/15/22                                                      AAA      2,018,250 
  4,500,000     Rutgers State U. Rev. Bonds, Ser. A, 6.4s, 5/1/13                    AA      4,927,500 
 13,000,000     Salem Cnty., Indl. Poll. Control Fin. Auth. Rev. Bonds (Pub. 
                Svc. Elec. & Gas Co. Project), Ser. C, MBIA, 5.55s, 11/1/33         AAA     12,642,500 
  1,985,000     Sayreville, Hsg. Dev. Corp. Mtge. Rev. Bonds (Lakeview Section 
                8), FHA, 7-3/4s, 8/1/24#                                            AAA      2,195,906 
  1,000,000     Stony Brook, Regional Swr. Rev. Bonds, Ser. B, 5.45s, 12/1/12        AA        988,750 
  4,695,000     U. of Medicine & Dentistry G.O. Bonds, Ser. E, 6-1/2s, 12/1/12       AA      5,281,875 
  1,300,000     Union Cnty., Indl. Poll. Ctrl. Fin. Auth. Rev. Bonds (American  
                Cynamid Co.) 5.8s, 9/1/09                                             A      1,337,375 
                Union Cnty., Util. Auth. Solid Waste Rev. Bonds 
  7,400,000      Ser. A, 7.2s, 6/15/14                                                A      7,705,250 

<PAGE>
 
New Jersey (continued) 
$4,000,000       Ser. A, 7.15s, 6/15/09                                               A    $  4,180,000 
                                                                                            251,253,197 
New York (5.5%) 
                Port Auth. NY & NJ Cons. IFB 
 5,000,000       (acquired 8/29/91, cost $5,164,940) 8.90895s, 8/1/26++              AA       5,725,000 
 2,100,000       (acquired 2/9/94, cost $2,107,875) 5.65808s, 11/15/15++             AA       1,693,125 
                Port Auth. NY & NJ Cons. Rev. Bonds, 
 7,500,000       93rd Ser. 6-1/8s, 6/1/94                                            AA       7,734,375 
 1,500,000       5.2s, 11/15/15                                                       A       1,413,750 
                                                                                             16,566,250 
Puerto Rico (8.7%) 
                Cmnwlth. of PR, Hwy. & Trans. Auth. Rev. Bonds 
 1,000,000       Ser. W, 5-1/2s, 7/1/15                                               A         962,500 
 2,000,000       Ser. X, 5-1/4s, 7/1/21                                               A       1,810,000 
 1,500,000       Ser. X, 2.2s, 7/1/99                                              VMIG       1,500,000 
 1,500,000      Cmnwlth. of PR, Hwy. Auth. Rev. Bonds Ser. Q, 7-3/4s, 7/1/16        AAA       1,749,375 
                Cmnwlth. of PR, Pub. Impt. G.O. Bonds 
 4,000,000       6.8s, 7/1/21                                                       AAA       4,595,000 
 2,250,000       Ser. A, MBIA, 5-3/8s, 7/1/22                                       AAA       2,148,750 
                PR, Hsg. Fin. Corp. Single Fam. Mtge. IFB 
 2,500,000       GNMA Coll., 8.585s, 8/4/25                                         AAA       2,693,750 
 1,765,000       Ser. B, GNMA Coll., 7.65s, 10/15/22                                AAA       1,877,515 
 2,000,000      PR, Indl. Med. & Env. Poll. Control Fac. Fin. Auth. Rev. Bonds 
                (American Airlines), Ser. A, 8-3/4s, 12/1/25                        Baa       2,077,500 
                PR, Pub. Bldgs. Auth. Gtd. Edl. & Hlth. Fac. Rev. Bonds 
 1,250,000       Ser. G, 7-7/8s, 7/1/16                                             AAA       1,368,750 
 1,000,000       Ser. H, 7-7/8s, 7/1/16                                             AAA       1,095,000 
 3,750,000      PR, Pub. Bldgs. Auth. Rev. Bonds, Ser. K, 6-7/8s, 7/1/21            AAA       4,326,563 
                                                                                             26,204,703 
                                                                                           $294,024,150 
                Total Investments (cost $282,179,370)*** 
</TABLE>

<PAGE>
 

 *Percentages indicated are based on net assets of $301,160,552, which 
correspond to a net asset value per class A, class B and class M shares of 
$8.98, $8.97 and $8.98, respectively. 


**The Moody's or Standard & Poor's ratings indicated are believed to be the 
most recent ratings available at May 31, 1995 for the securities listed. 
Ratings are generally ascribed to securities at the time of issuance. While 
the agencies may from time to time revise such ratings, they undertake no 
obligation to do so, and the ratings do not necessarily represent what the 
agencies would ascribe to these securities at May 31, 1995. Securities rated 
by Putnam are indicated by "/P" and are not publicly rated. Ratings are not 
covered by the Report of Independent Accountants. 

++Restricted, excluding 144A securities, as to public resale. At the date of 
acquisition these securities were valued at cost. There were no outstanding 
unrestricted securities of the same class held. Total market value of 
restricted securities owned at May 31, 1995 was $17,362,875 or 5.8% of net 
assets. 

#These securities was pledged to cover margin requirements for futures 
contracts at May 31, 1995. The market value segregated with the custodian for 
transactions in futures contracts was $5,420,906, or 1.8% of net assets. 

***The aggregate identified cost for federal income tax purposes is 
$282,188,091, resulting in gross unrealized appreciation and depreciation of 
$14,308,267 and $2,472,208, respectively, or net unrealized appreciation of 
$11,836,059. 

The rates shown on VRDN's and IFB's which are securities paying variable 
interest rates that vary inversely to changes in the market rates are the 
current interest rates at May 31, 1995, which are subject to change based on 
the terms of the security. 

The fund had the following industry group concentrations greater than 10% on 
May 31, 1995 (as a percentage of net assets): 

Health Care     19.5% 
Transportation  17.5 

U.S. Treasury Bond Futures Outstanding 
<TABLE>
<CAPTION>
                                                  Aggregate 
                                       Total         Face    Expiration     Unrealized 
                                       Value        Value        Date      Depreciation 
<S>                                              <C>           <C>         <C>
U.S. Treasury Bond Futures                                       
  (Sell)                           $10,511,906   $9,875,437    June 95     $636,469 
</TABLE>

  The accompanying notes are an integral part of these financial statements 

<PAGE>
 
Statement of assets and liabilities 
May 31, 1995 

<TABLE>
<CAPTION>
<S>                                            <C>           <C>
Assets 
Investments in securities at value 
  (identified cost $282,179,370) (Note 1)                    $294,024,150 
Cash                                                              229,821 
Interest receivable                                             6,785,631 
Unamortized organization expenses (Note 1)                          1,285 
Receivable for shares of the fund sold                            686,951 
Receivable for securities sold                                  1,025,213 
Total assets                                                  302,753,051 
Liabilities 
Payable for shares of the fund repurchased     $  677,959 
Distributions payable to shareholders             433,450 
Payable for compensation of Manager (Note 2)      296,017 
Payable for administrative services (Note 2)        1,562 
Payable for compensation of Trustees (Note 
  2)                                                  212 
Payable for investor servicing and custodian 
  fees (Note 2)                                     1,201 
Payable for distribution fees (Note 2)            121,023 
Payable for variation margin on futures 
  contracts                                         8,719 
Other accrued expenses                             52,356 
Total liabilities                               1,592,499 
Net assets                                                   $301,160,552 
Represented by 
Paid-in capital (Notes 1 and 4)                              $300,090,590 
Distributions in excess of net investment 
  income (Note 1)                                                 (18,267) 
Accumulated net realized loss on investment 
  transactions (Note 1)                                       (10,120,082) 
Net unrealized appreciation of investments, 
  written options and futures contracts 
  (Notes 1 and 3)                                              11,208,311 
Total--Representing net assets applicable to 
  capital shares outstanding                                 $301,160,552 
Computation of net asset value and offering price 
Net asset value and redemption price of 
  class A shares ($242,568,828 divided by 
  27,009,966 shares)                                                $8.98 
Offering price per class A share (100/95.25 
  of $8.98)*                                                        $9.43 
Net asset value and offering price of class 
  B shares ($58,590,691 divided by 6,530,449 
  shares)+                                                          $8.97 
Net asset value and redemption price of 
  class M shares($1,033 divided by 115 
  shares)                                                           $8.98 
Offering price per share (100/96.75 of 
  $8.98)**                                                          $9.28 
</TABLE>

*On single retail sales of less than $25,000. On sales of $25,000 or more and 
 on group sales the offering price is reduced. 

**On single retail sales of less than $50,000. On sales of $50,000 or more 
  and on group sales the offering price is reduced. 

+Redemption price per share is equal to net asset value less any applicable 
 contingent deferred sales charge. 

  The accompanying notes are an integral part of these financial statements. 

<PAGE>
 
Statement of operations 
Eleven months ended May 31, 1995 

<TABLE>
<CAPTION>
<S>                                                           <C>
Tax exempt interest income                                    $17,853,607 
Expenses: 
Compensation of Manager (Note 2)                                1,588,880 
Investor servicing and custodian fees (Note 2)                    211,127 
Compensation of Trustees (Note 2)                                  10,151 
Auditing                                                           21,324 
Legal                                                              31,200 
Reports to shareholders                                            45,095 
Administrative services (Note 2)                                    5,133 
Distribution fees--Class A (Note 2)                               431,012 
Distribution fees--Class B (Note 2)                               394,057 
Other expenses                                                     67,083 
Total expenses                                                  2,805,062 
Net investment income                                          15,048,545 
Net realized loss on investments and options (Notes 1 and 
  3)                                                           (6,565,473) 
Net realized loss on written options (Notes 1 and 3)             (129,643) 
Net realized loss on futures contracts (Note 1)                (1,758,627) 
Net unrealized appreciation of investments, written 
  options 
  and future contracts during the eleven months                15,717,027 
Net gain on investment transactions                             7,263,284 
Net increase in net assets resulting from operations          $22,311,829 

</TABLE>

  The accompanying notes are an integral part of these financial statements. 

<PAGE>
 
Statement of changes in net assets 
<TABLE>
<CAPTION>
                                              Eleven months 
                                                  ended          Year ended 
                                                  May 31           June 30 
                                                   1995             1994 
<S>                                            <C>              <C>
Increase in net assets 
Operations: 
Net investment income                          $ 15,048,545     $ 15,328,319 
Net realized loss on investments, written 
  options and futures contracts                  (8,453,743)         (38,889) 
Net unrealized appreciation 
  (depreciation) of investments, written 
  options and futures contracts                  15,717,027      (19,449,337) 
Net increase (decrease) in net assets 
  resulting from operations                      22,311,829       (4,159,907) 
Distributions to shareholders from: 
Net investment income 
Class A                                         (12,600,443)     (13,734,969) 
Class B                                          (2,404,816)      (1,545,308) 
Net realized gain on investments: 
Class A                                                  --       (2,166,642) 
Class B                                                  --          (78,061) 
In excess of realized gain on 
  investments: 
Class A                                                  --       (1,336,885) 
Class B                                                  --         (369,008) 
Increase from capital share transactions 
  (Note 4)                                        2,601,270       64,287,614 
Total increase in net assets                      9,907,840       40,896,834 
Net assets 
Beginning of period                             291,252,712      250,355,878 
End of period (including undistributed 
  and distributions in excess of net 
  investment income of $21,490 and                              
  $21,796 respectively)                        $301,160,552     $291,252,712 
</TABLE>

  The accompanying notes are an integral part of these financial statements. 

<PAGE>

Financial Highlights 
(For a share outstanding throughout the year) 
<TABLE>
<CAPTION>
                                    For the period                                               For the period 
                                     May 1, 1995            For the                             January 4, 1993 
                                    (commencement        eleven months                           (commencement 
                                  of operations) to          ended           Year ended        of operations) to 
                                       May 31,              May 31            June 30               June 30 
                                         1995                1995+              1994                  1993 
                                       Class M                                    Class B 
<S>                                    <C>                <C>                <C>                   <C>
Net asset value, 
beginning of period                      $8.74                 $8.75              $9.46                 $9.02 
Investment operations 
Net investment income                      .04                   .41                .45                   .21 
Net realized and unrealized 
  gain (loss) on investments               .28                   .22               (.58)                  .43 
Total from investment 
  operations                               .32                   .63               (.13)                  .64 
Less distributions: 
From net investment income                (.08)                 (.41)              (.45)                 (.20) 
Net realized gain on 
  investments                               --                                     (.02)                   -- 
In excess of realized gain on 
  investments                               --                    --               (.11)                   -- 
Total distributions                       (.08)                 (.41)              (.58)                 (.20) 
Net asset value, 
end of period                            $8.98                 $8.97              $8.75                 $9.46 
Total investment return at 
  net asset value (%) (a)                 3.21(b)               7.51(b)           (1.59)                 7.21(b) 
Net assets, end of period 
  (in thousands)                         $   1               $58,591            $44,916               $15,113 
Ratio of expenses to average 
net assets (%)                             .09(b)               1.46(b)            1.59                   .77(b) 
Ratio of net investment 
  income to average net 
  assets (%)                               .42(b)               4.72(b)            4.77                  2.42(b) 
Portfolio turnover (%)                   51.86(b)              51.86(b)           51.74                 44.58(b) 
</TABLE>

<PAGE>
 
<TABLE>
<CAPTION>
                                                                                       For the period 
                                 For the                                                February 20, 
                                 eleven                                                     1990 
                                 months                                                (commencement 
                                  ended                                                of operations) 
                                 May 31               Year ended June 30                 to June 30 
                                  1995+      1994       1993       1992       1991          1990 
                                                            Class A 
<S>                             <C>          <C>        <C>         <C>        <C>            <C>
Net asset value, beginning 
  of period                     $   8.75     $  9.46    $   8.97    $   8.64    $  8.50     $   8.50 
Investment operations 
Net investment income                .46         .51         .54         .59(c)     .62(c)       .22(c) 
Net realized and unrealized 
  gain (loss) on investments         .23        (.58)        .58         .38        .13          .01 
Total from investment 
  operations                         .69        (.07)       1.12         .97        .75          .23 
Less distributions: 
From net investment income          (.46)       (.51)       (.55)       (.60)      (.61)        (.23) 
Net realized gain on 
  investments                         --        (.08)       (.08)       (.04)        --           -- 
In excess of realized gain 
  on investments                      --        (.05)         --          --         --           -- 
Total distributions                 (.46)       (.64)       (.63)       (.64)      (.61)        (.23) 
Net asset value, end of 
  period                           $8.98 $      8.75       $9.46 $      8.97  $    8.64        $8.50 
Total investment return at 
  net asset value (%) (a)           8.25(b)     (.94)      13.02       11.52       9.17         2.71(b) 
Net assets, end of period 
  (in thousands)                $242,569    $246,336    $235,243    $159,658    $99,978      $34,588 
Ratio of expenses to average 
  net assets (%)                     .87(b)      .95         .92         .75(c)     .66(c)       .26(b)(c) 
Ratio of net investment 
  income to average net 
  assets (%)                        5.36(b)     5.43        5.90        6.69(c)    7.09(c)      3.06(b)(c) 
Portfolio turnover (%)             51.86(b)    51.74       44.58       80.21     101.21         7.58(b) 
</TABLE>
 
  + The fiscal year has been advanced from June 30 to May 31. 
(a) Total Investment return assumes dividend reinvestment and does not 
    reflect the effect of sales charges. 
(b) Not annualized. 
(c) Reflects a voluntary expenses limitation. As a result, expenses of the 
    fund for the years ended June 30, 1992 and 1991 and for the period ended 
    June 30, 1990 reflect a reduction of $0.01, $0.03 and $0.02, 
    respectively. 

<PAGE>
 
NOTES TO FINANCIAL STATEMENTS 

May 31, 1995 

Note 1 
Significant accounting policies 

The fund is registered under the Investment Company Act of 1940, as amended, 
as a non-diversified, open-end management investment company. The fund seeks 
as high a level of current income exempt from federal income tax and New 
Jersey personal income tax as Putnam Management believes is consistent with 
preservation of capital by investing primarily in a portfolio of longer-term 
New Jersey tax exempt securities. 

The fund offers class A, class B and class M shares. The fund commenced its 
public offering of class M shares on May 1, 1995, however, there were no 
shares sold to non-affiliates as of May 31, 1995. Class A shares are sold 
with a maximum front-end sales charge of 4.75%. Class B shares do not pay a 
front-end sales charge, but pay a higher ongoing distribution fee than class 
A shares, and may be subject to a contingent deferred sales charge if those 
shares are redeemed within six years of purchase. Class M shares are sold 
with a maximum front-end sales charge of 3.25% and pay a distribution fee 
that is higher than class A shares. In addition, the Trustees declare 
separate dividends on each class of shares. Expenses of the fund are borne 
pro-rata by the holders of each class of shares, except that each class bears 
expenses unique to that class (including the distribution fees applicable to 
such class). Each votes as a class only with respect to its own distribution 
plan or other matters on which a class vote is required by law or determined 
by the Trustees. Shares of each class would receive their pro-rata share of 
the net assets of the fund, if the fund were liquidated. 

The following is a summary of significant accounting policies consistently 
followed by the fund in the preparation of its financial statements. The 
policies are in conformity with generally accepted accounting principles. 

A) Security valuation Tax-exempt bonds and notes are stated on the basis of 
valuations provided by a pricing service, approved by the Trustees, which 
uses information with respect to transactions in bonds, quotations from bond 
dealers, market transactions in comparable securities and various 
relationships between securities in determining value. The fair value of 
restricted securities is determined by the Manager following procedures 
approved by the Trustees. 

B) Security transactions and related investment income Security transactions 
are accounted for on the trade date (date the order to buy or sell is 
executed). Interest income is recorded on the accrual basis. 

C) Futures The fund may purchase and sell financial futures contracts to 
hedge against changes in the values of tax-exempt municipal securities the 
fund owns or expects to purchase. 

A futures contract is an agreement between two parties to buy or sell units 
of a particular index or a certain amount of a U.S. Government security at a 
set price on a future date. 

Upon entering into such a contract the fund is required to pledge to the 
broker an amount of cash or securities equal to the minimum "initial margin" 
requirements of the futures. Pursuant to the contract, the fund agrees to 
receive from or pay to the broker an amount of cash equal to the daily 
fluctuation in value of the contract. Such receipts or payments are known as 
"variation margin" and are recorded by the fund as unrealized gains or 
losses. When the contract is closed, the fund records a realized gain or loss 
equal 
<PAGE>

to the difference between the value of the contract at the time it was opened 
and the value at the time it was closed. 

The potential risk to the fund is that the change in value of futures 
contracts primarily corresponds with the value of underlying instruments 
which may not correspond to the change in value of the hedged instruments. In 
addition, there is a risk that the fund may not be able to close out its 
futures positions due to an illiquid secondary market. 

D) Option accounting principles The fund may, to the extent consistent with 
its investment objective and policies, seek to increase its current returns 
by writing covered call and put options on securities it owns or in which it 
may invest. When a fund writes a call or put option, an amount equal to the 
premium received by the fund is included in the fund's "Statement of assets 
and liabilities" as an asset and an equivalent liability. The amount of the 
liability is subsequently "marked-to-market" to reflect the current market 
value of an option written. The current market value of an option is the last 
sale price or, in the absence of a sale, the last offering price. If an 
option expires on its stipulated expiration date, or if the fund enters into 
a closing purchase transaction, the fund realizes a gain (or loss if the 
closing purchase transaction exceeds the premium received when the option was 
written) without regard to an unrealized gain or loss on the underlying 
security, and the liability related to such option is extinguished. If a 
written call option is exercised, the fund realizes a gain or loss from the 
sale of the underlying security and the proceeds of the sale are increased by 
the premium originally received. If a written put option is exercised, the 
amount of the premium originally received reduces the cost of the security 
that the fund purchases upon exercise of the option. 

The risk in writing a call option is that the fund relinquishes the 
opportunity to profit if the market price of the underlying security 
increases and the option is exercised. In writing a put option, the fund 
assumes the risk of incurring a loss if the market price of the underlying 
security decreases and the option is exercised. In addition, there is the 
risk the fund may not be able to enter into a closing transaction because of 
an illiquid secondary market. 

The fund may also, to the extent consistent with its investment objectives 
and policies, buy put options to protect its portfolio holdings in an 
underlying security against a decline in market value. The fund may buy call 
options to hedge against an increase in the price of the securities that the 
fund ultimately wants to buy. These funds may also buy and sell combinations 
of put and call options on the same underlying security to earn additional 
income. The premium paid by a fund for the purchase of a put or call option 
is included in the fund's "Statement of assets and liabilities" as an 
investment and is subsequently "marked-to-market" to reflect the current 
market value of the option. If an option the fund has purchased expires on 
the stipulated expiration date, the fund realizes a loss in the amount of the 
cost of the option. If the fund enters into a closing sale transaction, the 
fund realizes a gain or loss, depending on whether proceeds from the closing 
sale transaction are greater or less than the cost of the option. If the fund 
exercises a call option, the cost of securities acquired by exercising the 
call is increased by the premium paid to buy the call. If the fund exercises 
a put option, it realizes a gain or loss from the 

<PAGE>

sale of the underlying security and the proceeds from such sale are decreased 
by the premium originally paid. The risk associated with purchasing options 
is limited to the premium originally paid. 

E) Federal taxes It is the policy of the fund to distribute all of its income 
within the prescribed time and otherwise comply with the provisions of the 
Internal Revenue Code applicable to regulated investment companies. It is 
also the intention of the fund to distribute an amount sufficient to avoid 
imposition of any excise tax under Section 4982 of the Internal Revenue Code 
of 1986. Therefore, no provision has been made for federal taxes on income, 
capital gains or unrealized appreciation of securities held and excise tax on 
income and capital gains. At May 31, 1995 the fund had a capital loss 
carryover of approximately $2,871,609 which may be available to offset future 
realized capital gains to the extent provided by regulations. This amount 
will expire on May 31, 2003. 

F) Distributions to shareholders Income dividends are recorded daily by the 
fund and are distributed to the shareholders monthly. Capital gains 
distributions, if any, are recorded on the ex-dividend date and paid 
annually. 

The amount and character of income and gains to be distributed are determined 
in accordance with income tax regulations which may differ from generally 
accepted accounting principles. Reclassifications are made to the fund's 
capital accounts to reflect income and gains available for distribution (or 
available capital loss carryovers) under income tax regulations. For the 
eleven months ended May 31, 1995, the fund reclassified $39,757 to increase 
distributions in excess of net investment income, $51,839 to increase paid-in 
capital and $12,082 to decrease accumulated net realized loss. 

G) Amortization of bond premium and discount Any premium resulting from the 
purchase of securities in excess of maturity value is amortized on a 
yield-to-maturity basis. The premium in excess of the call price, if any, is 
amortized to the call date; thereafter, the remaining excess premium is 
amortized to maturity. Discount on zero-coupon bonds is accreted according to 
the effective yield method. 

H) Unamortized organization expenses Expenses incurred by the fund in 
connection with its organization, its registration with the Securities and 
Exchange Commission and with various states, and the initial public offering 
of its class A shares aggregated $49,086. These expenses are being amortized 
over a five-year period based on current and projected net asset levels. 

NOTE 2 
MANAGEMENT FEE, ADMINISTRATIVE 
SERVICES, AND OTHER TRANSACTIONS 

Compensation of Putnam Investment Management, the fund's Manager, a 
wholly-owned subsidiary of Putnam Investments, Inc., for management and 
investment advisory services is paid quarterly based on the average net 
assets of the fund for the quarter. Such fee is based on the following annual 
rates: 0.60% of the first $500 million of average net assets, 0.50% of the 
next $500 million, 0.45% of the next $500 million and 0.40% of any amount 
over $1.5 billion, subject to reduction in any year to the extent of certain 
brokerage commissions and fees (less expenses) received by affiliates of the 
Manager on the fund's portfolio transactions. 

The fund also reimburses the Manager for the compensation and related 

<PAGE>
 
expenses of certain officers of the fund and their staff who provide 
administrative services to the fund. The aggregate amount of all such 
reimbursements is determined annually by the Trustees. 

Trustees of the fund receive an annual Trustee's fee of $780 and an 
additional fee for each Trustees' meeting attended. Trustees who are not 
interested persons of the Manager and who serve on committees of the Trustees 
receive additional fees for attendance at certain committee meetings. 

Custodial functions are being provided to the fund by Putnam Fiduciary Trust 
Company (PFTC), a subsidiary of the Putnam Investments, Inc. Investor 
servicing agent functions are provided by Putnam Investor Services, a 
division of PFTC. 

Investor servicing and custodian fees reported in the Statement of operations 
for the eleven months ended May 31, 1995 have been reduced by credits allowed 
by PFTC. 

The fund has adopted distribution plans (the "Plans") with respect to its 
class A, class B and class M shares pursuant to Rule 12b-1 under the 
Investment Company Act of 1940. The purpose of the Plans is to compensate 
Putnam Mutual Funds Corp., a wholly-owned subsidiary of Putnam Investments 
Inc., for services provided and expenses incurred by it in distributing 
shares of the fund. The Trustees have approved payment by the fund at an 
annual rate of 0.20%, 0.85% and 0.50% of the average net assets attributable 
to class A, class B and class M shares respectively. 

For the eleven months ended May 31, 1995, Putnam Mutual Funds Corp., acting
as underwriter received net commissions of $48,327 and $0 from the sale of
class A shares and class M shares, respectively, and $150,939 in contingent
deferred sales charges from redemptions of class B shares. A deferred sales
charge of up to 1% is assessed on certain redemptions of class A shares
purchased as part of an investment of $1 million or more. For the eleven months
ended May 31, 1995, Putnam Mutual Funds Corp., acting as underwriter received
$2,864 on class A redemptions.

NOTE 3 
PURCHASES AND SALES OF SECURITIES 
During the eleven months ended May 31, 1995, purchases and sales of 
investment securities other than short-term investments aggregated 
$146,627,753 and $157,433,605 respectively. Purchases and sales of short-term 
municipal obligations aggregated $6,300,000, and $10,900,000, respectively. 
In determining the net gain or loss on securities sold, the cost of 
securities has been determined on the identified cost basis. 

   Written options transactions during the period are summarized as follows: 
<TABLE>
<CAPTION>
                          Contract    Premiums 
                           Amount     Received 
<S>                     <C>           <C>
Options written         28,200,052    $630,036 
Options closed          28,200,052     630,036 
Written options 
  outstanding at end 
  of period                      0    $      0 
</TABLE>

<PAGE>


NOTE 4 
CAPITAL SHARES 
At May 31, 1995 there was an unlimited number of shares of beneficial
interest authorized divided into three classes of shares, class A, class B and
class M capital shares. Class M shares became effective on May 1, 1995 and 115
shares were sold to Putnam Investments, Inc. for $1,000. Transactions in capital
shares were as follows:

<TABLE>
<CAPTION>
                      Eleven months ended May 31     Year ended June 30 
                                1995                         1994 
Class A                Shares         Amount        Shares         Amount 
<S>                  <C>          <C>             <C>           <C>
Shares sold           3,583,766   $ 30,919,620     6,502,086    $ 60,620,771 
Shares issued in 
  connection with 
  reinvestment of 
  distributions         815,266      7,017,119     1,019,504       9,472,472 
                      4,399,032     37,936,739     7,521,590      70,093,243 
Shares 
  repurchased        (5,543,768)   (47,448,932)   (4,232,774)    (38,876,147) 
Net increase 
  (decrease)         (1,144,736)  $ (9,512,193)    3,288,816    $ 31,217,096 
</TABLE>

<TABLE>
<CAPTION>
                      Eleven months ended May 31     Year ended June 30 
                                1995                         1994 
Class B                Shares         Amount        Shares         Amount 
<S>                   <C>          <C>             <C>           <C>
Shares sold           2,071,094    $17,921,544     3,704,434     $34,534,469 
Shares issued in 
  connection with 
  reinvestment of 
  distributions         163,594      1,407,101       129,718       1,197,579 
                      2,234,688     19,328,645     3,834,152      35,732,048 
Shares repurchased     (839,933)    (7,216,182)     (296,170)     (2,661,530) 
Net increase          1,394,755    $12,112,463     3,537,982     $33,070,518 

</TABLE>

<PAGE>

FEDERAL TAX INFORMATION 
MAY 31, 1995 

The fund has designated all income dividends paid as exempt-interest 
dividends. Thus, 100% of the net investment income distributions are exempt 
from federal income tax. For residents of the state of New Jersey, 100% of 
the fund's income dividends are also exempt from New Jersey personal income 
tax. 

The Form 1099 you receive in January 1996 will show the tax status of any 
taxable distributions paid to your account in calendar 1995. 

<PAGE>
 
Our commitment to quality service 

> CHOOSE AWARD-WINNING SERVICE. 
Putnam Investor Services has won the DALBAR Quality Tested Service Seal every 
year since the award's 1990 inception. DALBAR, an independent research firm, 
ran more than 10,000 tests of 38 shareholder service components. In every 
category, Putnam outperformed the industry standard. 

> HELP YOUR INVESTMENT GROW. 
Set up a systematic program for investing with as little as $25 a month from 
a Putnam money market fund or from your checking or savings account.* 

> SWITCH FUNDS EASILY. 
You can move money from one account to another with the same class of shares 
without a service charge. (This privilege is subject to change or 
termination.) 

> ACCESS YOUR MONEY QUICKLY. 
You can get checks sent regularly or redeem shares any business day at the 
then-current net asset value, which may be more or less than the original 
cost of the shares. 

For details about any of these or other services, contact your financial 
advisor or call the toll-free number shown below and speak with a helpful 
Putnam representative. 

>  To make an additional investment in this or any other Putnam fund, contact 
  your financial advisor or call our toll-free number: 1-800-225-1581. 

*Regular investing, of course, does not guarantee a profit or protect against 
a loss in a declining market. 

<PAGE>
Fund information 
INVESTMENT MANAGER 
Putnam Investment 
Management, Inc. 
One Post Office Square 
Boston, MA 02109 

MARKETING SERVICES 
Putnam Mutual Funds Corp. 
One Post Office Square 
Boston, MA 02109 

CUSTODIAN 
Putnam Fiduciary Trust Company 

LEGAL COUNSEL 
Ropes & Gray 

INDEPENDENT 
ACCOUNTANTS 
Coopers & Lybrand L.L.P. 

TRUSTEES 
George Putnam, Chairman 
William F. Pounds, Vice Chairman 
Jameson Adkins Baxter 
Hans H. Estin 
John A. Hill 
Elizabeth T. Kennan 
Lawrence J. Lasser 
Robert E. Patterson 
Donald S. Perkins 
George Putnam, III 
Eli Shapiro 
A.J.C. Smith 
W. Nicholas Thorndike 

OFFICERS 
George Putnam 
President 

Charles E. Porter 
Executive Vice President 

Patricia C. Flaherty 
Senior Vice President 

Lawrence J. Lasser 
Vice President 

Gordon H. Silver 
Vice President 

Gary N. Coburn 
Vice President 

James Erickson 
Vice President 

Triet M. Nguyen 
Vice President 
and Fund Manager 

William N. Shiebler 
Vice President 

Paul M. O'Neil 
Vice President 

John D. Hughes 
Vice President and Treasurer 

Beverly Marcus 
Clerk and Assistant Treasurer 

This report is for the information of shareholders of Putnam New Jersey Tax 
Exempt Income Fund. It may also be used as sales literature when preceded or 
accompanied by the current prospectus, which gives details of sales charges, 
investment objectives and operating policies of the fund, and the most recent 
copy of Putnam's quarterly Performance Summary. For more information or to 
request a prospectus, call toll-free: 1-800-225-1581. 

Shares of mutual funds are not deposits or obligations of, or guaranteed or 
endorsed by, any financial institution, are not insured by the Federal 
Deposit Insurance Corporation (FDIC), the Federal Reserve Board, or any other 
agency, and involve risk, including the possible loss of principal amount 
invested. 
<PAGE>

PUTNAM INVESTMENTS 
  The Putnam Funds 
  One Post Office Square 
  Boston, Massachusetts 02109 

Bulk Rate 
U.S. Postage 
PAID 
Putnam 
Investments 

19003-019/329 

<PAGE>
APPENDIX TO FORM N-30D FILINGS TO DESCRIBE DIFFERENCES BETWEEN PRINTED
AND EDGAR-FILED TEXTS:

(1)  Bold and italic typefaces are displayed in normal type.

(2)  Headers (e.g., the name of the fund) are omitted.

(3)  Certain tabular and columnar headings and symbols are displayed
     differently in this filing.

(4)  Bullet points and similar graphic signals are omitted.

(5)  Page numbering is omitted.

(6)  Trademark symbol replaced with (TM)



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