The statistical technique of photon ray tracing, commonly known as the Monte Carlo Method, has been successfully used on numerous radiant transport problems. Because of its simplicity, the method can be applied to complex systems which are otherwise not amenable to a conventional approach such as the solution of integral-differential equations. The primary limitation of the method is the wide ranging complementary techniques necessary in reducing the amount of computations in each analysis. This paper presents such a technique that can be used in the analysis of radiant interchange. Applied to an optical system, the method can be used to solve for image quality, system attenuation, off-axis energy rejection, and thermal radiation heat transfer. Results of three demonstrative examples are also presented.