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The frequency dispersion phenomenon under high-speed multipath circumstance significantly influence the subcarriers’ orthogonalitySof the OFDM system. To solve this problem, a multiplexing technique named Orthogonal Time Frequency Space (OTFS) modulation technology has emerged. The application of multiple-input multiple-output (MIMO) over OTFS modulation is named MIMO-OTFS system, which takes both advantage of the channel capacity and reliability benefits of MIMO and the robustness of OTFS in multipath dispersion.SThis paper is concerned with the theory and simulation of Maximum Ratio Merging (MRC) detection algorithm in MIMO-OTFS system. In particular, a low-complexity MRC estimation approach is proposed to reduce the computational cost.To enhance the signal-to-noise ratio of the signal in observation space, MRC algorithm is applied to symbol detection and multipath delay coherent combining process at the receiver (Tx) in delay-Doppler grid. Cholesky decomposition is applied to enhance the performance when evaluating the MIMO-OTFS channel inverse matrix.