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According to the echo envelop migration of MIMO radar translational moving target with a high speed, the characteristic of the echo is analyzed, then a novel compensation method, based on transmit signal pre-process, is proposed. The method makes envelops of echo pulses automatic alignment in the fast-slow time domain. At the receiver, combining the Fractional Fourier transmit (FrFT), two index phases caused by the acceleration can be compensated, so the Doppler shift can be compensated simultaneously. The method requires tiny calculating quantities, and it is easy to achieve, moreover there's no SNR-loss in the process. The results of simulation verified the validity of the method presented.