<PAGE>
 

                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C.  20549

                                 SCHEDULE 13G

                   UNDER THE SECURITIES EXCHANGE ACT OF 1934
                             (AMENDMENT NO. ___)*

                               APTARGROUP, INC.
                               ----------------                       
                               (Name of Issuer)

                                 Common Stock
                                 ------------
                        (Title of Class of Securities)

                                  038336 103 
                                  ----------
                                (CUSIP Number)


Check the following box if a fee is being paid with this statement [X].  (A fee
is not required only if the filing person:  (1) has a previous statement on file
reporting beneficial ownership of more than five percent of the class of
securities described in Item 1; and (2) has filed no amendment subsequent
thereto reporting beneficial ownership of five percent or less of such class.)
(See Rule 13d-7.)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).


<PAGE>
 
  CUSIP NO. 90329B 10 0                   13G               Page 4 of 5 Pages
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON 
                          
            First Chicago NBD Corporation  38-1984850
- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
                                                                (b) [X]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
            

- ------------------------------------------------------------------------------
      CITIZENSHIP OR PLACE OF ORGANIZATION
 4    
            Delaware

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF                -0-      
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                              -0-
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING                 -0-
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8    
                              -0-
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
            None except indirectly through one or more subsidiaries as reported 
            herein. See Item 4.

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
 
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
            -0-

- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
            CO HC

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



<PAGE>
 
Item 1(a). Name of Issuer:
           -------------- 

           Aptargroup, Inc. (the "Company")

Item 1(b). Address of Issuer's Principal Executive Offices:
           ----------------------------------------------- 

           475 West Terra Cotta Avenue
           Suite E
           Crystal Lake, Illinois 60014

Item 2(a). Name of Person Filing:
           --------------------- 
  
           First Chicago NBD Corporation ("FCN") 

Item 2(b). Address of Principal Business Office:
           ------------------------------------ 

           One First National Plaza
           Chicago, Illinois 60670

Item 2(c). Citizenship:
           ----------- 

           FCN is a corporation organized under the laws of the State of
           Delaware.

Item 2(d). Title of Class of Securities:
           ---------------------------- 

           Common Stock (the "Common")

Item 2(e). CUSIP Number
           ------------

           038336 103   

Item 3.    Type of Person Filing:
           --------------------- 

           (g) FNC is a Parent Holding Company in accordance with 
           Section 240.13d-1(b)(ii)(g).               

Item 4.    Ownership:
           --------- 

           (a)-(b) FCN may be deemed to own shares of Common solely through its
           ownership of one or more banking subsidiaries (the "Banks"), which
           hold such shares solely in a fiduciary capacity. The Banks, in the
           aggregate, may be deemed to hold 978,080 shares, representing 5.46%
           of the outstanding Common. None of the Banks, individually, is a
           Reporting Person. Each of the Banks is a "Bank" as defined in Section
           3(a)(6) of the Act.


<PAGE>
 
         (c) The Banks have sole voting power over 935,422 shares, sole
         investment power over 546,650 shares and shared investment power over
         431,130 shares. See items 5 through 9 and item 11 on page two hereof.
         

Item 5.  Ownership of Five Percent or Less of a Class:
         -------------------------------------------- 

         Not applicable.

Item 6.  Ownership of More Than Five Percent on Behalf of Another Person:
         ----------------------------------------------------------------

         Not applicable.

Item 7.  Identification and Classification of the Subsidiary Which Acquired the
         Security Being Reported On by the Parent Holding Company:
         ----------------------------------------------------------------------

         Not applicable.

Item 8.  Identification and Classification of Member of the Group:
         -------------------------------------------------------- 

         Not applicable.

Item 9.  Notice of Dissolution of Group:
         ------------------------------ 

         Not applicable.

Item 10. Certification:
         ------------- 

         By signing below I certify that, to the best of my knowledge and
         belief, the securities referred to above were acquired in the ordinary
         course of business and were not acquired for the purpose of and do not
         have the effect of changing or influencing the control of the issuer of
         such securities and were not acquired in connection with or as a
         participant in any transaction having such purpose or effect.

Disclaimer
- ----------
      First Chicago NBD Corporation expressly declares that the filing of this 
statement shall not be construed as an admission that First Chicago NBD 
Corporation, is, for the purposes of Section 13(d) or 13(g) of the Securities 
Exchange Act of 1934, the beneficial owner of any securities covered by this 
statement.








<PAGE>
 
Signature:

     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

Date:  February 12, 1996

                             

                              FIRST CHICAGO NBD CORPORATION 


                                   /s/ M. Eileen Kennedy
                              By:  -----------------------
                                   M. Eileen Kennedy
                                   Senior Vice President and 
                                   Treasurer