The invention relates to a method for impelling through flow by air compressor time by considering air source bleed air of an air system. By analyzing the characteristics and the requirement of the air source of the air system of an engine, the air source bleed air and the air compressor are designed to be associated, a bleed air model with a bleed air position, a bleed air area, a bleed air volume, a bleed air speed and a bleed air angle combined with boundary conditions of a flow passage of the air compressor is established, and the influence of the bleed air parameters on the flow field of the air compressor is transmitted to the upstream and the downstream by impelling the solving of the through flow procedure by time, thus involving influencing factors of the bleed air on flow field characteristics such as flow field air flow angle, end wall loss, power adding quantity, blade shape and the like in the flow field solving of the through flow of the air compressor, and finally obtaining the through flow design result of the air compressor considering the air source bleed air of the air system. The method completely involves the influencing factors of the bleed air on the flow field characteristics of the air compressor in the flow field solving of the through flow of the air compressor, and thoroughly and deeply considers the air source bleed air of the air system in the through flow design of the air compressor, thus being the exploration and innovation of the bleed air realized in the design of the air compressor.