We investigate the ionization of an atom with different orbital angular momenta in the high frequency laser field by solving the time-dependent Schrödinger equation. It is found that the ionization stabilization features changed with the relative direction between the angular momentum of the initial state and the vector field of the laser pulse. With the calculation of the transition matrix and the evolution of the time-dependent wavepacket, the ionization mechanism of the atom irradiated by the high frequency is explained. This study can further deepen the understanding of the atomic nonadiabatic ionization progress.