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In multiple-input multiple-output (MIMO) wireless communication system, Maximum likelihood (ML) detection algorithm is the optimum detection algorithm which computational complexity growing exponentially with the number of transmit-antenna. Chase detector can achieve near-ML performance with lower complexity, which is combined by a list detector and a parallel bank of sub-detectors. Because of the existence of error propagation, the orders of symbol detection are critical in Chase detection. An improved multistage Chase detector is proposed here for reducing error spread based on maximum likelihood (ML) detection and order method, that can trade-off performance and complexity by setting parameters at different values, Simulation experiment results show the validity of proposed algorithm.