Multiple input multiple output orthogonal frequency division multiplexing (MIMO-OFDM) is very sensitive to the carrier frequency offset (CFO), which not only affects the channel estimation but also the selection of a minimum error probability based precoder for peak-to-average power ratio (PAPR) reduction such that the system performance will degrade. This paper presents the joint scheme of CFO) and channel estimation in the MIMO-OFDM systems with the minimum error probability based precoder for reducing PAPR. We provide the solution to eliminate the effects of ICI due to CFO mismatch for OFDM with space frequency block codes and spatial multiplexing, drive a generalized linear model and propose a non-iterative reduced complexity model. Our proposed scheme is effective in estimating and compensating for frequency-independent and frequency dependent transmit and receive ICI in the presence of a carrier frequency offset.-Multiple input multiple output orthogonal frequency division multiplexing (MIMO-OFDM) is very sensitive to the carrier frequency offset (CFO), which not only affects the channel estimation but also the selection of a minimum error probability based precoder for peak-to-average power ratio (PAPR) reduction such that the system performance will degrade. This paper presents the joint scheme of CFO) and channel estimation in the MIMO-OFDM systems with the minimum error probability based precoder for reducing PAPR. We provide the solution to eliminate the effects of ICI due to CFO mismatch for OFDM with space frequency block codes and spatial multiplexing, drive a generalized linear model and propose a non-iterative reduced complexity model.　Our proposed scheme is effective in estimating and compensating for frequency-independent and frequency dependent transmit and receive ICI in the presence of a carrier frequency offset.