A joint estimation algorithm based on grid search is proposed in order to realize the joint estimation of synchronous damage and channel in Multiple Input Multiple Output(MIMO)-Orthogonal Frequency Division Multiplexing(OFDM) system. Firstly, by constructing a system model to reflect the influence of synchronous damage and channel response, the multi-dimensional optimization problem of each damage parameter estimation is then simplified into two-dimensional grid and one-dimensional grid search, so as to realize the joint estimation of carrier frequency offset, sampling frequency offset and symbol timing error. The numerical simulation results show that the proposed joint estimation algorithm has better estimation performance than the non-joint estimation algorithm.