The strategies of venture capitalist and entrepreneurs in the venture capital market may form an exit dilemma, therefore,the analysis of their strategy selection and entanglement using quantum game is given. The results show that there is a critical condition,and that the Nash equilibrium of the quantum game will be completely different when the entanglement that the two party setect the same strategy varies. The condition of a successful exit is that the entanglement that they two select the same strategy is greater than that they select different strategies,and the specific equilibrium depends on the entanglement in the initial quantum state.