An accurate simulation of radiative heat transfer in arrays of fixed discrete surfaces is challenging because of the complicated geometries that can shade and block many surfaces. This paper presents an innovative Monte Carlo scheme using cell-to-cell photon transport developed to simulate monochromatic radiation impinging on an array of fixed discrete elements. Results of the study show that cell-to-cell photon transport is an efficient method of simulating radiation heat transfer in complicated geometries. Sample calculations demonstrate the dependence of radiation heat transfer in the array on the geometry of the array elements.