Two-level three-phase voltage source inverter (VSI) with resistive-inductive load has been widely applied in the real life and production. Precise control and fast response are essential for the performance of two-level three-phase VSI with the resistive-inductive load. In this paper, a novel controller design which consists of discrete-time model predictive control (DMPC) based on Laguerre functions and space vector pulse width modulation (SVPWM) is proposed to satisfy these requirements. The inputs of the three-phase are transformed into stationary α-β coordinate for reducing calculation. In addition, the parameters of DMPC based on Laguerre functions are calculated during the offline period, which can reduce the burden of online calculation. With the voltage detection of resistive-inductive load and the current compensation, required reference voltage can be predicted. The required reference voltage is later applied to SVPWM to get the switch sequences. A modified DMPC based on Laguerre functions-SVPWM can achieve a very low total harmonic distortion of output current. Extensive simulation results demonstrate that the proposed approach has a fast dynamic response and perfect steady-state performance.