The　topological　optimization　model　of　continuum　structure　that　minimizes　weight　and　subjects　to　static　displacement　and　frequency　constraints　is　established　by　independent　continuous　mapping　(ICM)　method.　Continuous　topological　variables　independent　of　cross-sectional　or　shape　variables　are　adopted.　Based　on　the　filter　function,　the　displacement　constraints　are　expressed　approximately　by　Mohr　theorem.　By　differentiating　the　Rayleigh　quotient　with　respect　to　design　variables,　the　frequency　constraints　are　expressed　approximately　by　the　modal　elastic　energy　and　kinetic　energy　of　structure.　Adopting　image-filtering　method,　checkerboard　patterns　and　mesh　dependence　problems　are　eliminated.　Local　modal　problems　are　solved　by　constructing　a　suitable　set　of　filter　functions.　By　adding　additional　frequency　constraints　into　optimization　model　to　prevent　modal　switch　from　occurring,　the　oscillation　is　eliminated　during　the　process　of　optimization.　Several　numerical　examples　reveal　that　it　is　convenient　for　dealing　with　multi-displacement　and　multi-frequency　constraints　and　is　also　convenient　for　solving　local　modal　and　modal　switch　problems　to　establish　optimization　model　by　ICM　method.