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The topology optimization design of the continuum structures is one of the most challenging research topics in the field of the structural optimization and full of innovation.Recently, the topology techniques have been expanded to structural vibration, instability and flexibility design, etc.However, the study on the structural topology optimization of dynamics is still fewer than that of statics.It is well known that the purpose of the topology optimization design is to find the optimal lay-out of a structure within a specified region.And the dynamic and static performance of a structure can be improved via such optimization, which is propitious to the realistic engineering.Throughout the versions available, it is not difficult to realize that, although much attention has been taken to dealing with topology optimization of dynamics for continuum structures, most of the papers largely focus on some simple-type structures such as beam, shell and thin plate, etc.Unfortunately, studies on 3D continuum structures are still less.It should be noticed that 3D continuum structures is used mainly.Hence, not only the investigation on the topological design of dynamics for 3D continuum structures with eigenfrquency constraints is of great importance of realistic engineering, but also of significances in theoretical and practical value.