In terms of the problem of cutter suction dredger pump erosion due to the solid particles in mud, a mud pump of a cutter suction dredger was taken as research object. With taking all mud property parameters into consideration, CFD simulation was proceeded to analyze the erosion of cutter suction dredger mud pump, and Kriging method was used to build the approximate model of cutter suction dredger pump erosion. Through error analysis of, the proposed approximate model turns out to be with some accuracy.