We observed and investigated the phenomenon of switching between stable state and quasi-periodic state in circular-side hexagonal resonator microcavity laser with optical feedback by the Lang-Kobayashi rate equation. The influences of feedback rate and bias current on the switching between two dynamical states are analyzed, and the reason for this switching phenomenon is analyzed by bifurcation diagrams. The results show that the phenomenon of switching between these two states is more likely to occur under the conditions of high bias current and long external-cavity feedback. Finally, the difference between this switching phenomenon and the similar phenomenon of other lasers is compared and analyzed.