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In this letter, a multiuser space-time trellis coding (MU-STTC) scheme is proposed for MIMO vector Gaussian broadcast channels (VGBC). For the system with two transmit antennas and two users with one receive antenna each, the proposed scheme decomposes the system into two subsystems, each of which is equivalent to a system with two transmit and one receive antenna with known interference. A novel precoding scheme is developed to eliminate such interference. The proposed scheme enables to incorporate space time trellis coding and adaptive weighting into the system to provide a significant coding and weighting gain. Simulation results confirm its good performance.