Among spatial diversity schemes, orthogonal space-time block code (OSTBC) and cyclic delay diversity (CDD) have been widely studied for the cooperative wireless relaying system. However, conventional OSTBC and CDD cannot cope with change in the number of relays owing to low throughput or error performance. In this letter, we propose the space-time cyclic delay diversity (STCDD) scheme which provides good error performance and full rate. Simulation results show that bit error rate (BER) performance of the proposed STCDD is superior to that of OSTBC and CDD when sufficient quality of source-relay channels are guaranteed.