UNITED HIGH INCOME FUND II INC
24F-2NT, 1998-12-29
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                      U. S. SECURITIES AND EXCHANGE COMMISSION
                               Washington, D. C. 20549

                                     FORM 24F-2
                          Annual Notice of Securities Sold
                               Pursuant to Rule 24f-2



     1.   Name and address of issuer:

          United High Income Fund II, Inc.
          6300 Lamar, P. O. Box 29217
          Shawnee Mission, Kansas 66201-9217



     2.   Name of each series or class of funds for which this Form is filed (If
          the Form is being filed for all series and classes of securities of
          the issuer, check the box but do not list series or classes):
                                                            [ X ]



     3.   Investment Company Act File Number:

          811-4520/CIK#793300



          Securities Act File Number:

          33-5648



     4(a).     Last day of fiscal year for which this Form is filed:

               September 30, 1998



     4(b). [  ] Check box if this notice is being filed late (i.e., more than
                90 calendar days after the end of the issuer's fiscal year).
                (See Instruction A.2)

       Note:  If the Form is being filed late, interest must be paid on the
       registration fee due.

     4(c). [  ] Check box if this is the last time the issuer will be filing
                this Form.

     5.   Calculation of registration fee:

          (i)  Aggregate sale price of securities sold during the fiscal year
               pursuant to Rule 24f:                             $79,109,206

         (ii)  Aggregate price of shares redeemed or repurchased during the
               fiscal year:                       $71,014,198
                                                  --------------


        (iii)  Aggregate price of shares redeemed or repurchased during any
               prior fiscal year ending no earlier than October 11, 1995 that
               were not previously used to reduce registration fees payable to
               the Commission:                    $23,791,671
                                                  --------------


         (iv)  Total available redemption credits [add items 5(ii) and 5(iii)]:
                                                                 $94,805,869
                                                                 --------------


          (v)  Net sales -- if Item 5(i) is greater than Item 5(iv) [subtract
               Item 5(iv) from Item 5(i)]:                     -$
                                                                 --------------

          (vi) Redemption credits available for use in future years -- if Item
               5(i) is less than Item 5(iv) [subtract Item 5(iv) from Item
               5(i)]:
                                                  $(15,696,663)
                                                  --------------


        (vii)  Multiplier for determining registration fee (See Instruction
               C.9):                                           x   .000278
                                                                 --------------
       (viii)  Registration fee due [multiply Item 5(v) by Item 5(vii)] (enter
               "0" if no fee is due):
                                                                 =$    0
                                                                 ==============

     6.   Prepaid Shares

          If the response to item 5(i) was determined by deducting an amount of
          securities that were registered under the Securities Act of 1933
          pursuant to rule 24e-2 as in effect before [effective date of
          rescission of rule 24e-2], then report the amount of securities
          (number of shares or other units) deducted here:___________.  If there
          is a number of shares or other units that were registered pursuant to
          rule 24e-2 remaining unsold at the end of the fiscal year for which
          this form is filed that are available for use by the issuer in future
          fiscal years, then state that number here:__________.

     7.   Interest due -- if this Form is being filed more than 90 days after
          the end of the issuer's fiscal year (see Instruction D):
                                                                 +$
                                                                 ---------------

     8.   Total of the amount of the registration fee due plus any interest due
          [line 5(viii) plus line 7]:
                                                                 =$
                                                                 ==============

     9.   Date the registration fee and any interest payment was sent to the
          Commission's lockbox depository:


               Method of Delivery:



                              [  ]   Wire Transfer
                              [  ]   Mail or other means


                                     SIGNATURES

     This report has been signed below by the following persons on behalf of the
     issuer and in the capacities and on the dates indicated.


     By (Signature and Title)*     ---------------------------------
                                   Robert L. Hechler
                                   President




     Date December 29, 1998
          -------------------------------




     *Please print the name and title of the signing officer below the
     signature.




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