Thermal conductivities in a pitch-based carbon fiber reinforced epoxy unidirectional composite are evaluated analytically by using the finite element method. Thermal conductivities both in fiber direction and in the direction perpendicular to the fibers are considered. Two dimensional finite element models are developed. Both steady and transient calculations are made. The transient simulation is performed to simulate the laser flash method. The effects of both fiber volume fraction and matrix hybridization are discussed. The simulation results are compared with experimental results.