Various types of B-ISDN bearer connection can take place according to access types of endpoint equipments in call and number of connectio between endpoints. In this paper, performance of application signalling protocol on three basic facilities of B-ISDN CS-2 signalling system, such as connection of point-to-point, point-to-multipoint and multiconnection call, is evaluated and compared. For performacne evaluation, experimental model of B-ISDN application signalling protocol is implemented and respective message processing time of each process is measured. By applying message processing time to local exchange system, cal processing capacity of application signalling protocol on three basic connection types is evaluated by simulation method. In this paper, local exchange system is considered to have two ATM NNI links and four ATM UNI links.