In this paper, the effects of cavities on graphene sheet failure were studied via molecular dynamics simulations. The graphene sheets with one centrally located cavity were simulated first. The Young's modulus and failure stress were calculated based on the simulated stress-strain curves. In addition, two or three cavities and their locations were also considered in this study. The Von Mises stress evolution indicated that the failure mechanism of graphene sheets with cavities were different from the one of a perfect graphene sheet.