Based on the well-known method of undetermined coefficients, we have developed a new software package called InCLiM for automatic and interactive computation of conservation laws of nonlinear partial differential equations ( PDE) in multi-dimensional spaces. InCLiM presents a user-friendly graphic user interface (GUI) and can outputs results in a Windows Form or in a detailed computation report. A new recursive combinational (RC) algorithm for constructing candidate density of the PDE is also presented. The effectiveness of the software is illustrated by applying it to a variety of equations.