A multipoint-to-point CDMA communication system comprises a plurality of CDMA transmitting stations and a single CDMA receiving station, all of which are intercoupled to each other over one CDMA channel and one feedback channel. On the one CDMA channel, the plurality of CDMA transmitting stations simultaneously send respective CDMA signals to the receiving station. In the receiving station, respective time differences are measured between a reference clock signal and the spreading codes in the CDMA signals from each of the CDMA transmitting stations; and these time differences are indicated in respective error signals which the CDMA receiving station sends on the feedback channel to each of the CDMA transmitting stations. Each CDMA station responds to its error signals by time shifting its spreading code such that it arrives in the receiving station in synchronization with the reference clock signal. This synchronization enables interference between the spreading codes at the receiving station to be reduced by using codes which have minimal cross-correlation when their time difference is zero; and consequently, the maximum number of stations that can simultaneously transmit is increased.