In this paper, we propose an low-density parity-check codes (LDPC)-coded relay cooperation with receive multi-antenna in the destination over a Rayleigh fading channel, where maximal ratio combining and belief propagation algorithm (BP)-based joint iterative decoding based on the introduced treble-layer Tanner graph are designed to detect and decode the corrupted received sequence at the destination. Theoretical analysis and numerical simulation exhibit that the proposed approach can well combine the diversity and coding gains, which results in significant advantage over the conventional coded cooperation and non-cooperation schemes under the same conditions.