A communication system is disclosed in which a speech path is selectively set up between a master station (12a) and mobile units (14a-14n) through a plurality of radio channels (13a-13n). The number data of a limited number of priority channels is set in memory devices (12a-4, 14a-4) which are installed respectively in the master station (12a) and each mobile unit (14a-14n). In a receive-ready mode, in each station and units (12a, 14a-14n), the priority channels are intermittenly subjected to the receive search. In other periods than the receive search periods, no power is supplied to the receive circuit of each station and units (12a, 14a-14n).
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