Aiming at solving the nonlinear equations of two-level selective harmonic elimination, a method of solving the nonlinear transcendental equations of two-level inverters harmonic elimination model by Differential Evolution (DE) algorithm is proposed. DE solves the SHEPWM equations and overcomes the shortage of initial values in numerical methods. The switching angle trajectory with modulation degree of 0 to 1.15 is given. Compared with the genetic algorithm solution, the DE solution has higher accuracy. In order to verify the correctness and feasibility of the differential evolution algorithm, a simulation study is carried out with Matlab/Simulink, and a two-level inverter based on DSP (TMS320F28335) is built for experiment. The simulation and experimental results prove the correctness and feasibility of the differential evolution algorithm. This work is supported by National Natural Science Foundation of China (No. 51307076) and Liaoning Natural Science Foundation of China (No. 20180550268).