Ground-state(GS)properties of the two-dimensional(2D)quantum compass model in an exteal field on a square 5×5 lattice are investigated by using the exact diagonalization(ED)method.We obtain the GS energy and evaluate quantities such as its correlation functions,nearest-neighbor entanglement and local order parameter.As the exteal field is presented,the first-order quantum phase point is absent and the system exhibits the behaviors of the second-order phase transition.