KEMPER INCOME TRUST
497, 1999-12-29
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                               KEMPER INCOME FUNDS
                             Kemper High Yield Fund
                            Kemper High Yield Fund II
                       Kemper High Yield Opportunity Fund
                   Kemper Income and Capital Preservation Fund
                     Kemper Short-Term U.S. Government Fund*
                         Kemper Strategic Income Fund**
                     Kemper U.S. Government Securities Fund
                            Kemper U.S. Mortgage Fund

                            SUPPLEMENT TO PROSPECTUS
                             DATED JANUARY 1, 2000

                            ------------------------

                                 CLASS I SHARES

                            ------------------------

*    On  February  5,  1999,  Kemper  Short-Intermediate   Government  Fund  was
     reorganized  into  Kemper  Adjustable  Rate U.S.  Government  Fund.  Kemper
     Adjustable  Rate U.S.  Government  Fund was then renamed Kemper  Short-Term
     U.S.   Government  Fund,  and  its  objective  and  policies  were  changed
     accordingly.

**   Formerly Kemper Diversified Income Fund

The above funds currently offer four classes of shares to provide investors with
different  purchasing  options.  These are Class A,  Class B and Class C shares,
which are  described  in the funds'  prospectus,  and Class I shares,  which are
described in the  prospectus  as  supplemented  hereby.  When  placing  purchase
orders,  investors must specify whether the order is for Class A, Class B, Class
C or Class I shares.

Class  I  shares  are  available  for  purchase  exclusively  by  the  following
categories of institutional  investors:  (1) tax-exempt retirement plans (Profit
Sharing,  401(k),  Money Purchase  Pension and Defined Benefit Plans) of Scudder
Kemper  Investments,  Inc.  ("Scudder  Kemper") and its  affiliates and rollover
accounts from those plans;  (2) the  following  investment  advisory  clients of
Scudder Kemper and its investment  advisory  affiliates  that invest at least $1
million in a Fund:  unaffiliated  benefit  plans,  such as qualified  retirement
plans (other than individual  retirement  accounts and self-directed  retirement
plans);  unaffiliated  banks and insurance  companies  purchasing  for their own
accounts;  and endowment funds of  unaffiliated  non-profit  organizations;  (3)
investment-only accounts for large qualified plans, with at least $50 million in
total  plan  assets or at least  1000  participants;  (4)  trust  and  fiduciary
accounts  of trust  companies  and bank trust  departments  providing  fee-based
advisory  services  that  invest at least $1 million in a Fund on behalf of each
trust; (5) policy holders under  Zurich-American  Insurance  Group's  collateral
investment  program  investing at least  $200,000 in a Fund;  and (6) investment
companies  managed by Scudder Kemper that invest  primarily in other  investment
companies.

<PAGE>

Class  I  shares   currently   are  available  for  purchase  only  from  Kemper
Distributors,  Inc.  ("KDI"),  principal  underwriter for the Funds, and, in the
case of category 4 above, selected dealers authorized by KDI. Share certificates
are not available for Class I shares.

The following information supplements the indicated sections of the prospectus.

PERFORMANCE

The following  table shows how the funds Class I Shares'  returns over different
periods  average  out.  For context,  the table has a  broad-based  market index
(which, unlike the fund, have no fees or expenses).  All figures in this section
assume reinvestment of dividends and distributions.  As always, past performance
is no guarantee of future results.

Average Annual Total Returns -- Class I shares

For periods ended                                            Inception of
December 31, 1998               One Year     Life of Class       Class
- -----------------               --------     -------------       -----

Kemper High Yield Fund           1.59%          11.10%         12/29/94

Salomon Brothers Long-Term
High Yield Bond Index*           9.23%        15.74%**             --

- --------------

*   The Salomon  Brothers  Long-Term  High Yield Bond Index is on a total return
    basis and is  comprised  of high yield bonds with a par value of $50 million
    or higher and a remaining maturity of ten years or longer rated BB+ or lower
    by  Standard  & Poor's  Corporation  or Ba1 or lower  by  Moody's  Investors
    Service, Inc.

**  For the period of 12/31/94 through 12/31/98.

For periods ended                                            Inception of
December 31, 1998               One Year     Life of Class       Class
- -----------------               --------     -------------       -----

Kemper Income And Capital
Preservation Fund                8.16%            7.80%           7/3/95

Lehman Brothers Aggregate
Bond Index*                      8.69%          8.09%**             --
- --------------

*   The Lehman  Brothers  Aggregate Bond Index is an unmanaged  index  generally
    representative  of  intermediate-term  government  bonds,  investment  grade
    corporate debt securities, and mortgage backed securities.

**  For the period of 6/30/95 through 12/31/98.

                                       2
<PAGE>

For periods ended                                            Inception of
December 31, 1998               One Year     Life of Class       Class
- -----------------               --------     -------------       -----

Kemper U.S. Government           7.26%            7.39%           7/3/95
Securities Fund

Salomon Brothers                 6.82%          7.85%**             --
30-Year GNMA Index*

- --------------

*   The Salomon Brothers  30-Year GNMA Index is unmanaged,  is on a total-return
    basis with all  dividends  reinvested  and is comprised of GNMA 30-year pass
    throughs of single family and graduated  payment  mortgages.  In order for a
    GNMA coupon to be included in the index,  it must have at least $200 million
    of outstanding coupon product.

**  For the period of 6/30/95 through 12/31/98.

                                       3
<PAGE>

HOW MUCH INVESTORS PAY

This table  describes the fees and expenses that you may pay if you buy and hold
shares of the fund.

Shareholder fees: Fees paid directly from your investment.

                   Maximum
                    Sales      Maximum     Maximum
                   Charge     Deferred      Sales
                   (Load)       Sales       Charge
                 Imposed on    Charge       (Load)
                  Purchases    (Load)     Imposed on
                 (as a % of  (as a % of   Reinvested
                  offering   redemption   Dividends/     Redemption  Exchange
                   price)     proceeds)  Distributions      Fee        Fee
                   ------     ---------  -------------      ---        ---

Kemper High
Yield Fund          None        None         None            None       None

Kemper High
Yield Fund II       None        None         None            None       None

Kemper High
Yield
Opportunity Fund    None        None         None            None       None

Kemper Income
And Capital
Preservation
Fund                None        None         None            None       None

Kemper
Short-Term U.S.
Government Fund     None        None         None            None       None

Kemper
Strategic
Income Fund         None        None         None            None       None

Kemper U.S.
Government
Securities Fund     None        None         None            None       None

Kemper U.S.
Mortgage Fund       None        None         None            None       None


                                       4
<PAGE>

Annual fund operating expenses: Expenses that are deducted from fund assets.

                                                              Total Annual
                                                                  Fund
                     Management     Distribution     Other      Operating
                        Fee         (12b-1) Fees   Expenses*    Expenses*
                        ---         ------------   ---------    ---------

Kemper High
Yield Fund              0.52%           None         0.10%       0.62%

Kemper High
Yield Fund II           0.65%           None         0.40%       1.05%

Kemper High Yield
Opportunity Fund        0.65%           None         0.61%       1.26%

Kemper Income And
Capital
Preservation Fund       0.54%           None         0.17%       0.71%

Kemper Short-Term
U.S. Government Fund    0.54%           None         0.26%       0.80%

Kemper Strategic
Income Fund             0.56%           None         0.19%       0.75%

Kemper U.S.
Government
Securities Fund         0.42%           None         0.17%       0.59%

Kemper U.S.
Mortgage Fund           0.51%           None         0.18%       0.69%

- --------------

*   Estimated for Kemper  Short-Term  U.S.  Government  Fund,  Kemper  Strategic
    Income Fund,  Kemper High Yield  Opportunity Fund, Kemper High Yield Fund II
    and Kemper U.S.  Mortgage Fund since no Class I shares were issued as of the
    respective fiscal year ends.

                                       5
<PAGE>

Example

This  example is to help you  compare the cost of  investing  in a fund with the
cost of investing in other mutual funds.

This example illustrates the impact of the above fees and expenses on an account
with an initial  investment of $10,000,  based on the expenses  shown above.  It
assumes a 5% annual return,  the reinvestment of all dividends and distributions
and "annual fund operating  expenses"  remaining the same each year. The example
is hypothetical: actual fund expenses and return vary from year to year, and may
be higher or lower than those shown.

Fees and expenses if you sold shares after:

                              1 Year      3 Years     5 Years    10 Years
                              ------      -------     -------    --------
Kemper High Yield Fund           $64        $199        $346        $774

Kemper High Yield Fund II       $107        $334        $579      $1,283

Kemper High Yield
Opportunity Fund                $128        $400        $692      $1,523

Kemper Income And Capital
Preservation Fund                $73        $227        $395        $883

Kemper Short-Term
U.S. Government Fund             $82        $255        $444        $990

Kemper Strategic
Income Fund                      $77        $240        $417        $930

Kemper U.S. Government
Securities Fund                  $60        $189        $329        $738

Kemper U.S.
Mortgage Fund                    $70        $221        $384        $859

                                       6
<PAGE>

FINANCIAL HIGHLIGHTS

No financial  information  is presented for Class I shares of Kemper  Short-Term
U.S.   Government  Fund,   Kemper  Strategic  Income  Fund,  Kemper  High  Yield
Opportunity Fund, Kemper High Yield Fund II and Kemper U.S. Mortgage Fund, since
no Class I shares  were  issued  as of the  respective  fiscal  year ends of the
funds.

Kemper High Yield Fund

                                                                 December
                                                               29, 1994 to
                                                                September
                                Year ended September 30,           30,
CLASS I                      1999       1998     1997    1996      1995
- ----------------------------------------------------------------------------
Per share operating performance

Net asset value,
beginning of period          $7.68      8.50      8.23    8.01      7.55
- ----------------------------------------------------------------------------
Income from investment
operations:
  Net investment income        .82       .76       .78     .78       .66
- ----------------------------------------------------------------------------
  Net realized and
  unrealized gain (loss)      (.48)     (.78)      .31     .23       .39
- ----------------------------------------------------------------------------
  Total from investment
  operations                   .34      (.02)     1.09    1.01      1.05
- ----------------------------------------------------------------------------
Less distribution
from net investment income     .80       .80       .82     .79       .59
- ----------------------------------------------------------------------------
Net asset value, end
of period                    $7.22      7.68      8.50    8.23      8.01
- ----------------------------------------------------------------------------
Total return
(not annualized)             4.36%      (.66)    13.96   13.32     14.37
- ----------------------------------------------------------------------------
Ratios to average net assets (annualized)

Expenses                      .62%       .60       .62     .61       .61
- ----------------------------------------------------------------------------
Net investment income       10.49%      9.38      9.44    9.72     10.70
- ----------------------------------------------------------------------------


                         Year ended September 30,
                        1999       1998        1997       1996      1995
- ----------------------------------------------------------------------------
Supplemental data for all classes

Net assets at end
of year (in
thousands)           $4,281,395 4,784,262   4,939,302  4,096,939  3,527,954
- ----------------------------------------------------------------------------
Portfolio turnover
rate                      67%         92          91        102         99
- ----------------------------------------------------------------------------

Note:  Total return does not reflect the effect of any sales charges.  Per share
data was determined  based on average shares  outstanding  during the year ended
September 30, 1999 and September 30, 1998.

                                       7
<PAGE>

Kemper Income And Capital Preservation Fund

                                                                    July 3
                                                                      to
                                                                   October
                                    Year ended October 31,           31,
CLASS I                         1999      1998     1997    1996     1995
- ----------------------------------------------------------------------------
Per share operating performance

Net asset value, beginning
of period                      $8.67       8.53     8.45     8.61     8.52
- ----------------------------------------------------------------------------
Income from investment
operations:
  Net investment income          .53        .56      .59      .60      .19
- ----------------------------------------------------------------------------
  Net realized and
  unrealized gain (loss)        (.63)       .15      .08     (.15)     .12
- ----------------------------------------------------------------------------
  Total from investment
  operations                    (.10)       .71      .67      .45      .31
- ----------------------------------------------------------------------------
Less distribution from net
investment income                .52        .57      .59      .61      .22
- ----------------------------------------------------------------------------
Net asset value, end of
period                         $8.05       8.67     8.53     8.45     8.61
- ----------------------------------------------------------------------------
Total return
(not annualized)               (1.23)%     8.62     8.26     5.45     3.65
- ----------------------------------------------------------------------------
Ratios to average net assets (annualized)

Expenses, before expense
reductions                       .71%       .66      .70      .72      .62
- ----------------------------------------------------------------------------
Expenses, after expense
reductions                       .71%       .66      .70      .72      .62
- ----------------------------------------------------------------------------
Net investment income           6.41%      6.52     7.02     7.14     6.87
- ----------------------------------------------------------------------------

                                     Year ended October 31,
                        1999       1998       1997       1996       1995
- ----------------------------------------------------------------------------
Supplemental data for all classes
Net assets at end
of year
(in thousands)       $496,191    694,057   613,470    572,998    649,427
- ----------------------------------------------------------------------------
Portfolio turnover
rate                     108%        121       164         74        182
- ----------------------------------------------------------------------------

Note: Total return does not reflect the effect of any sales charges.

                                        8
<PAGE>

Kemper U.S. Government Securities Fund

                                                                    July 3
                                                                      to
                                                                   October
                                    Year ended October 31,           31,
CLASS I                         1999      1998     1997    1996     1995
- ----------------------------------------------------------------------------
Per share operating performance

Net asset value, beginning
of period                       $8.85      8.81     8.74     8.92     8.88
- ----------------------------------------------------------------------------
Income from investment
operations:
  Net investment income           .55       .59      .66      .64      .22
- ----------------------------------------------------------------------------
  Net realized and
  unrealized gain (loss)        (.40)       .07      .06    (.17)      .04
- ----------------------------------------------------------------------------
  Total from investment
  operations                      .15       .66      .72      .47      .26
- ----------------------------------------------------------------------------
Less distribution from net
investment income                 .62       .62      .65      .65      .22
- ----------------------------------------------------------------------------
Net asset value, end of
period                          $8.38      8.85     8.81     8.74     8.92
- ----------------------------------------------------------------------------
Total return (not annualized)   1.81%      7.75     8.60     5.56     3.02
- ----------------------------------------------------------------------------
Ratios to average net assets (annualized)

Expenses, before expense
reductions                       .60%       .57      .60      .59      .53
- ----------------------------------------------------------------------------
Expenses, after expense
reductions                       .59%       .57      .60      .59      .53
- ----------------------------------------------------------------------------
Net investment income           6.47%      6.73     7.52     7.35     7.07
- ----------------------------------------------------------------------------

                                     Year ended October 31,
                         1999       1998       1997       1996      1995
- ----------------------------------------------------------------------------
Supplemental data for all classes
Net assets at end of
year (in thousands)   $2,982,945 3,442,212   3,642,027 4,163,157  4,738,415
- ----------------------------------------------------------------------------
Portfolio turnover
rate                      177%        150         261       391        362
- ----------------------------------------------------------------------------

Note:  Total return does not reflect the effect of any sales charges.  Per share
data were determined based on average shares  outstanding  during the year ended
October 31, 1998.

                                       9
<PAGE>

SPECIAL FEATURES

Shareholders of a Fund's Class I shares may exchange their shares for (i) shares
of Zurich Money Funds -- Zurich Money Market Fund if the shareholders of Class I
shares  have  purchased  shares  because  they are  participants  in  tax-exempt
retirement plans of Scudder Kemper and its affiliates and (ii) Class I shares of
any  other  "Kemper   Mutual  Fund"  listed  in  the   prospectus.   Conversely,
shareholders  of  Zurich  Money  Funds  --  Zurich  Money  Market  Fund who have
purchased shares because they are participants in tax-exempt retirement plans of
Scudder  Kemper and its  affiliates may exchange their shares for Class I shares
of "Kemper  Mutual  Funds" to the extent that they are  available  through their
plan.  Exchanges  will be made at the  relative  net asset values of the shares.
Exchanges are subject to the limitations set forth in the prospectus.

As a result of the relatively  lower  expenses for Class I Shares,  the level of
income dividends per share (as a percentage of net asset value) and,  therefore,
the overall investment return,  typically will be higher for Class I shares than
for Class A, Class B and Class C shares.

                                       10
<PAGE>



<PAGE>



January 1, 2000


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