In order to study the variation rule of head, efficiency and the shaft power of the non-blocking submersible grinder pump, as well as the influence of the static cutter runner clogging on its pressure pulsation when the static cutter runner is clogged, this study adopts, on the basis of experiments, RNG k-Epsilon turbulence model to carry out steady and unsteady calculation about the computational domain of the grinder pump. By analyzing 28 different clogging cases of the static cutter runner, it is found that with the clogging degree of the static cutter runner increasing, the head changes in shape of a parabola, the maximum efficiency point of the grinder pump deflects to low flow point, and the high efficiency area of the pump narrows. In the low flow area, the throttling action between the dynamic cutter and static cutter is the most important factor that affects the pump characteristics variation rule, whereas, in the high flow area, the throttling action between the dynamic cutter and static cutter, the clearance cavitation at the radial clearance, and the vortex-type cavitation on the edge of the impeller outlet together affect the pump characteristics variation rule of the submersible grinder pump; inside of the submersible grinder pump, when the static cutter runner is clog-free or part of the runner is not completely clogged, the passing frequency of the dynamic cutter is the most important factor that affects the pressure pulsation, whereas, when part of the static cutter runner is completely clogged, the dynamic-static interaction effect between the dynamic cutter and static cutter is the most important factor that affects the pressure pulsation.