The ATM switching system accommodating the public switched telephone network (PSTN) and narrowband ISDN (N-ISDN) subscribers should ensure the continued support of existing services and applications and guarantee the same quality of voice services for the telephone users. The voice message connection control discussed in this paper is one of the various technical issues for voice services in the interworking function unit, IWF between asynchronous transfer mode (ATM) node and existing synchronous transfer mode (STM) node [2]. We describe the technical points for the implementation of the voice message connection control with the consideration of the development time and cost. And then we discuss several technical problems such as mapping pulse code modulation PCM coded voice data into an ATM cell, different switching operation, keeping performance of the ATM-PSTN interworking system and then present benefits of the voice message connection control processing from the hardware/software point of views.