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This article proposes a spatial multiplexing and diversity joint transmit structure for multiple input multiple output (MIMO)- orthogonal frequency division multiplexing (OFDM) system.The structure uses space-frequency block coding (SFBC) over all its spatial multiplexing layers to obtain both space diversity and frequency diversity gain.The article derives a monte carlo probabilistic data association (PDA) detector to obtain a better bit error rate (BER) performance when compared to the generic PDA detector.Computer simulation results show that the proposed detector can reduce the inter-symbol interference (ISI) greatly, improve the system performance significantly, and lower the computation complexity to a proper lever.