The organization of multiple access in a system with Code Division Multiple Access (CDMA) based on the proposed protocol provides conflict-dependent parallel processing of requests in the system. To find the average service delay, a method of combinatorial analysis of events in CDMA systems is developed and used. Within the framework of the model being considered and based on the obtained value of the average service delay, the average values of the number of requests and the number of the requests waiting for service and also delays of waiting for service are computed.