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The paper proposes a TDD-SDMA/TDMA system with a multi-slot assignment to deal with asymmetric traffic in wireless networks, where the packet-based data service is supported. The proposed system assigns more than one time slot for the downlink to each terminal so as to deal with the asymmetric traffic. We also present an efficient algorithm to decide the priority of time slots for the downlink, and by which the maximum potential transmission rate can be obtained for the downlink. The performance of the proposed system is evaluated by computer simulation in terms of the average delay and the average transmission rate and compared with those of a conventional system with a symmetric time slots assignment. It is verified that a significant improvement on system performance can be achieved if the TDD-SDMA/TDMA system employs the proposed multi-slot assignment scheme.