In a medium access method for contention and non-contention, a poll number for stations, or wireless terminals for communication, is managed by a base station so as to guarantee smooth traffic and improved Quality of Service (QoS). A first group of stations is provided for the non-contention, and a second group of stations is provided for the contention. The method includes (a) preparing a contention-free access message attempting access of the first group, (b) detecting a transmission time of a contention access message attempting access of the second group, (c) embedding the contention-free access message in the contention access message so as to transmit the embedded message to at least one of the first and second groups, and (d) receiving the contention access message, in which the contention-free access message is embedded, at the at least one of the first and second groups, and endowing any one of the first and second groups with a priority to attempt access to a medium in turn. Thereby, a poll number control-based multi-polling distributed coordination function (MP-DCF) mechanism is shared with the commercial stations to which no MP-DCF module is provided, so that it is possible to solve a drawback in that all stations should have the MP-DCF module provided therein, as well as to constantly maintain throughput even though the number of stations is gradually increased.