In this paper, we propose a new quadrature amplitude modulation (QAM)-based filter-bank multicarrier (FBMC) system, called Tomlinson-Harashima precoding (THP)-FBMC. The main objective of the proposed system is to enable to use multiple-input multiple-output (MIMO) techniques with maintaining fundamental strengths of FBMC system. It removes residual interference of the FBMC system by employing THP-based successive interference cancellation method with previously known residual interference coefficient. We firstly formulate the FBMC transceiver as a matrix and transform it into a lower triangular matrix. From the linear formulation, we apply THP-based successive interference cancellation method. Performance evaluations show that the proposed THP-FBMC system outperforms the conventional FBMC-QAM system in terms of out-of-band emission (OOBE) and bit error rate (BER) under MIMO environment.