Actual engineering structures are often designed using deterministic parameters，which may lead to high failure probability. This paper proposed a reliability-based structural dynamic topology method，in which structural reliability analysis was incorporated into the topology optimization procedure. The geometry dimensions and material volume were considered as uncertain parameters，and it was assumed that they obey a Gaussian distribution. It is a two-nested optimization problem when the structural reliability analysis is considered as constraints into the topology optimization，which results in low efficiency and cannot be used in practice. To this end，a new decouple strategy was proposed to decouple the reliability analysis from the topology optimization procedure. In this case，structure reliability analysis and dynamic topology optimization become two independent optimization cycles，and the computational efficiency is improved enormously. The design problem was then constructed so as to maximize the first eigenfrequency and to meet the volume and reliability requirement. SIMP and MMA were combined to successfully solve the design problem. The proposed method can produce various topologies that satisfy different reliability requirement，and its validity is demonstrated by one benchmark example.