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In this paper, we derived joint frequency synchronization and channel estimation algorithms MIMO-OFDM systems (Multiple-Input Multiple-Output & Orthogonal Frequency Division Multiplexing). Although the new estimator is also based on Expectation Maximization (EM) algorithm, but unlike traditional estimator the new one utilized some known channel parameters to achieve estimator Matrix Dimensionality Reduction (MDR) algorithm then the computational complexity and impact of noise are both decreased. We formulated time-domain CIR estimation algorithm in the first place. The new CIR estimator adopts matrix dimension reduction algorithm to decrease computational complexity and eliminate the effect of noise and interferences. Then, in order to increase the performance of estimator and obtain residual Carrier Frequency Offset, Expectation Maximization (EM) algorithm is employed as joint frequency synchronization and CIR estimator. In the end, computer simulation proved the above theory analyses.