This technical note discusses the stability analysis and design procedure of event-triggered control (ETC) for nonlinear stochastic systems with state-dependent noise. Periodic event-generators and continuous event-generators are considered in both static and dynamic cases. All the event-generators we proposed have a guaranteed positive minimum interevent time for every sample path solution of the systems. It is shown that under the same decay rate, the dynamic event-generators may further reduce the conservatism than their static counterparts. In addition, Riccati-like conditions for global mean square exponential stability of linear stochastic systems under dynamic ETC are established. The theoretical results are illustrated by means of a numerical example.