We calculate the lattice heat capacity of layered material based on a simple model with cubic structure and Born potential. It is shown that interface states affect the lattice capacity obviously when the thickness of layer is relatively small (less than several tens of single la-years). With the increasing of thickness of the layer, the lattice capacity decreses and is nearly independent of interface states and the thickness of the layer. We also give a comparison of the lattice capacity of aperiodic superlattice with that of periodic superlattice.