This paper studies an interface crack in a two-layered composite media under an applied thermal flux by using the hyperbolic heat conduction equation. The problem is solved by Laplace transform and integral equation technique. It is found that the crack tip thermal flux is infinity and the singularity is described by the transient thermal flux intensity factor. The crack tip field is expressed in terms of the thermal flux intensity factor in closed-form. The solution of the problem is presented in non-dimensional form. A characteristic length parameter and a characteristic time parameter are identified to control the time-varying behavior of the thermal flux intensity factor. The results demonstrate that the crack considerably enhance the local thermal flux and temperature distributions. It is important to consider the non-Fourier effect in studying the thermally induced cracking problem in layered composite materials.