The invention relates to a grouting pump, in particular to an asynchronous plunger multi-liquid stepless matching synchronous grouting pump. Most existing double-cylinder or multi-cylinder piston type or plunger type grouting pumps are in constant-proportion modes, examples in the stepless variable-proportion modes also exist, but double grout cylinders are driven by double oil cylinders, and a set of complicated hydraulic control system is used in a matched mode, so that cost is high, and the control accuracy is not ideal. Two plungers or two pistons are arranged in asynchronous plunger grout cylinders, the stroke difference of the two plungers or the two pistons is controlled by a rocker mechanism, stepless adjustment in different proportions is achieved, stepless adjustment on the grout discharging proportions of the two grout cylinders is achieved, the grout discharging amount of the grout cylinders can be accurately calculated through accurate measurement on the adjusting stroke, the adjusting accuracy of the stepless adjustment is greatly improved, and the matching accuracy under largely-different matching conditions is particularly improved.