This paper addresses the problem of stabilizing nonlinear stochastic systems using an event-triggered impulse mechanism (ETIM) and control theory. Sufficient criteria for achieving asymptotic stability (AS), finite-time stability (FTS), and finite-time contraction stability (FTCS) are obtained. In the ETIM, respectively, the timer threshold and free-control indexes are introduced to effectively prevent Zeno behavior and unnecessary impulses, thus conserving control resources. Furthermore, the impulse policy is formulated by considering both the current state and past information of the system,...