An effective ‘Forecast-correction fourth-order Runge-Kutta′ numerical method is programmed to study the propagation characteristics of ultra-short laser pulse in inhomogeneous broadening two-level medium.The results show that the pulse propagation can be modulated by the inhomogeneous broadening line-width.While the inhomogeneous broadening line-width is greater than the pulse spectrum width,the evolution of pulse area consists with the area theorem,and the pulse propagation maintains stability.With decreasing line-width,the evolution of pulse area becomes complex,and pulse propagation no longer maintains stability and with a "tail" oscillation.The pulse peak and pulse propagation velocity can also be modulated by the line-width.