Various topologies of multilevel inverters have been proposed as a potential replacement for cascaded multilevel inverters in high-voltage, high-power applications as they can be extended to any number of voltage levels without introducing much more complexity to the control system. This paper discussed in detail about the application of selective harmonic elimination pulse-width modulation (SHE-PWM) technique for thirteen-level cascaded submultilevel inverters. The switching angles are computed so as to eliminate the predominant low harmonic orders from inverter output voltage such that the total harmonic distortion (THD) is a minimum. The modulation method presented is confirmed by MATLAB/Simulink software and the simulation results are discussed.