In　this　paper,　a　model　of　topology　optimization　for　the　lightest　plate　structures　with　frequency　constraint　is　constructed　based　on　Independent,　Continuous　and　Mapping　(ICM)　method.　Exponential　function　is　adopted　as　filtering　function　of　the　element　weight,　the　element　mass　matrix　and　the　element　stiffness　matrix.　Through　the　first-order　Taylor　expansion　of　Rayleigh　quotient,　which　is　described　by　the　reciprocal　variables　of　the　filtering　function　of　the　element　stiffness,　the　frequency　constraint　is　approximately　expressed　as　an　explicit　function.　The　dual　theory　is　used　to　convert　the　constrained　optimization　model　with　a　large　number　of　design　variables　into　the　quasi-unconstrained　optimization　model　with　less　design　variables,　which　is　solved　by　the　sequential　quadratic　programming　(SQP).　As　a　result,　the　solving　efficiency　is　greatly　improved.　The　MSC.　Patran　&　Nastran　software　and　Patran　Command　Language　(PCL)　are　selected　to　develop　the　topology　optimization　software　for　plate　structures　with　frequency　constraint　in　there.　The　numerical　results　show　that　the　ICM　method　possesses　stable　iteration　and　efficient　convergence.