A hyperbolic heat conduction (HHC) equation has been proposed to replace Fourier heat conduction equation in cases heat transfer takes place in a very short period of time or at extremely low temperature. There is a growing interest in the investigation of HHC problem in recent years, but to the author’s knowledge, HHC in composite media in multidimension has not been studied up to date. This paper presents a numerical method to solve two-dimensional HHC in composite materials. The numerical method used in the paper is free of oscillation in predicting the solution of hyperbolic systems encountering discontinuities. The key to solve HHC in composite media is to keep both temperature and heat flux continuous at the interfaces. The HHC equation is non-dimensionalized in a way, so that the HHC problem in composite media can be solved in nondimensional form. Nomenclature