We investigate numerically the interaction between incoherent spatial solitons in a nonlinear medium with logarithmic saturable nonlinearity base on the coherent density approach. Numerical simulations show that both the intensity and the spatial coherence can be greatly enhanced through soliton interaction. At the same time, we show that the soliton interaction can be controlled by the total partial incoherence, which can not only suppress the coherent soliton interaction such as attractive, repulsive or exchange energy, but also induce weak attractive due to incoherent superposition of two incoherent solitons.