Ruin theory is the core of risk theory, the compound Poisson risk model is al- ways the hotspot area to he studied in ruin theory. Considering the fact, this paper, on one hand, considered the investment income; on the other hand, considered insurant' s interest while satisfying insurer's requirement to increase surplus presented the compound Poisson risk model with two dividend threshold strategies and constant interest force. This paper provided a recursive approach to obtain general solution to the integral-differential equatio...