The next generation mobile communication system should be able to accommodate various services, including voice and Internet dial-up. As is well known, voice service has symmetrical, i.e. equal uplink and downlink bandwidth requirements, whereas Internet dial-up traffic usually has asymmetrical, i.e. unequal uplink and downlink bandwidth requirements. Frequency division duplex (FDD) usually allocates the same bandwidth to both uplink and downlink, whereas time division duplex (TDD) can change the number of time slots allocated to uplink and downlink to allocate different bandwidth to uplink and downlink. Thus, for scenarios with asymmetrical traffic, TDD is a better solution. To provide better quality of service during handoff, make-before-break soft handoff is preferable to break-before-make hard handoff. Furthermore, as forced termination of an ongoing call is less tolerable than blocking of a new call, handoff calls are usually given priority over new calls. We consider cellular multiservice TDD networks supporting both symmetrical and asymmetrical traffic with soft handoff and handoff queueing. First, we derive the mathematical model of the considered system with multi-dimensional birth–death process. Second, since the asymmetrical traffic may lead to the waste of uplink or downlink bandwidth, the effects of the traffic mix and the number of uplink slots on the system performance are studied. Third, the comparison of TDD and FDD with the presence of asymmetrical traffic is performed. Fourth, as the handoff region area increases, more calls will enter into or originate at that region. Thus, we study the effect of handoff region area on performance. Fifth, as a handoff call that cannot obtain the required channel upon arrival will be rejected if the handoff queue is full, the effect of handoff queue size on the performance is studied.