In this letter, a new explicit time-domain method for the analysis of light propagation in photonic bandgap (PBG) devices is suggested. In essence, this method is based on the finite volume that employs triangular elements in order to accurately represent curved boundaries encountered in PBG devices. Moreover, uniaxial perfectly matched layer absorbing boundary conditions has also been incorporated to rigorously truncate the computational domain. The high numerical precision of the suggested approach is demonstrated through numerical examples.