A higher-order statistics (HOS) based iterative FIR linear blind equalizer for block based transmission over FIR MIMO channels is proposed. With the precoder-equalizer structure, the proposed blind equalization algorithm do not required a long guard period that is longer than or equal to the channel order, to be inserted in each block of transmitted signal to avoid inter-block interference. The signal transmitted during the guard period can be considered as redundancy which consumes channel bandwidth and transmission power. With the proposed algorithm, an FIR equalizer can be obtained based on the HOS of the received signal with minimal transmit redundancy required for FIR zero-forcing equalization. The simulation results showed that the proposed blind equalizer improves spectral efficiency while retaining good BER performance at high SNR. Simulation results also showed that the proposed equalizer can obtain good BER at low SNR due to the use of the HOS, which is robust towards Gaussian channel noise.