SECURITIES AND EXCHANGE COMMISSION

                              WASHINGTON, DC 20549

                                    FORM 8-K

                                 CURRENT REPORT


     Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934

        Date of Report (Date of earliest event reported) - July 13, 1998

                                 HSB Group, Inc.
             (Exact name of registrant as specified in its charter)

           Connecticut               001-13135          06-1475343
        (State or other             (Commission       (IRS Employer
   jurisdiction of incorporation)   File Number)    Identification No.)

               One State Street, Hartford, Connecticut 06102-5024
               (Address of principal executive offices) (Zip Code)

       Registrant's telephone number, including area code - (860-722-1866)


Item 5.  Other Events

On July  13,  1998,  HSB  Group,  Inc.  (the  Company)  issued  a press  release
announcing  the  completion  of its  acquisition  of  the  monoline  boiler  and
machinery  business  of Kemper  Insurance  Companies,  effective  July 1,  1998.
Included  herewith as Exhibit 99 is the Company's  press release related to this
announcement and such information is incorporated herein by reference.

Item 7.  Exhibits.

99. The Company's press release dated July 13, 1998.



Pursuant  to the  requirements  of the  Securities  Exchange  Act of  1934,  the
Registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned, thereunto duly authorized.

                                        
                                             HSB GROUP, INC.



Dated:  July 13, 1998                        /s/ R. Kevin Price
                                             R. Kevin Price
                                             Senior Vice President and Corporate
                                             Secretary