We propose a blind identification method for MIMO single carrier zero padding block transmission systems. The method uses periodic precoding on the source signal before transmission. The estimation of channel impulse response matrix consists of two steps: (i) obtain the channel product matrix by solving a lower-triangular linear system and (ii) obtain the channel impulse response matrix by computing the positive eigenvalues and eigenvectors of a Hermitian matrix formed from the channel product matrix. A sufficient condition for identifiability is simply that the channel impulse response matrix is full column rank. The design of the precoding sequence to minimize the noise effect in covariance matrix estimation is proposed. Simulation examples are used to demonstrate the performance of the method.