Abstract: In order to ensuring good matching performance and low spatial cross-correlation of multiple-input multiple-output(MIMO) radar beampattern, as well as decreasing computational complexity, an algorithm for transmit beampattern design based on discrete Fourier transform(DFT) is proposed in this paper. First, a cost function contains matching performance and spatial crosscorrelation is constructed, then a close-form of transmit signal covariance matrix is given by DFT. This method can avoid high complexity caused by convex optimization efficiently. Theoretical analysis indicates that the designed covariance matrix can fully satisfy basic constraints of beampattern design model, meanwhile it can minimize the cost function. Simulation and performance analysis shows that computational complexity of the algorithm is low, and the designed beampattern has good matching performance and low spatial cross-correlation.