Disclosed is a call control method for use with an ATM switch for integrating and switching various types of information which differ in traffic characteristics, such as voice, data and motion images, using an asynchronous transmission mode (ATM). When a call is made to the ATM switch, it is accepted only when it is possible to set a path that can guarantee the service requested by the call. When a call is made to the ATM switch, a load representing how much of the capacity of input links and output links of a self-routing module (SRM) constituting the ATM switch is obtained from the average value and peak value of the bit rate of the call. The load is added to each of current loads of the input and output links and buffers of the self-routing module which form a path in the ATM switch. A determination is made as to whether or not the result of the addition exceeds the maximum load of each of the input and output links and buffers. On determination that the maximum value is not exceeded, the call is accepted.