Shell　supported　bridges　whose　deck　is　supported　by　a　shell　structure　are　special　spatial　bridge　structures　shaped　by　means　of　a　form-finding　algorithm.　In　order　to　achieve　mainly　membrane　stresses　and　avoid　bending　effects,　Zordan　et　al.(2010)　carried　out　a　finite　element　topological　optimization　procedure　by　means　of　the　SIMP　(Solid　Isotropic　Material　with　Penalization)　method,　with　the　goal　of　minimizing　compliance^].　Meanwhile,　although　eigenfrequency　optimization　applied　to　shell　structures　is　infrequent,　the　topological　optimization　procedure　can　be　also　used　to　maximize　the　fundamental　natural　frequency　of　shell　structures,　and　is　also　effective　in　reducing　the　arising　of　tensile　stresses.　In　this　paper,　starting　from　a　shell　surface　obtained　through　a　form-finding　process　and　that　supports　the　deck　of　a　footbridge,　the　finite　element　topological　optimization　with　eigenfrequency　was　carried　out　by　using　the　SIMP　method　to　both　maximize　the　fundamental　natural　eigenfrequency　and　minimize　of　a　certain　percentage　the　weight　(volume)　of　the　shell　itself.　Topological　optimization　through　the　SIMP　method　first　identified　the　shell　regions　with　lower　pseudo　densities,　while　the　geometry　of　the　shell　was　updated　by　eliminating　the　inefficient　material　in　these　regions.　Although　maximizing　the　fundamental　eigenfrequency　with　topological　optimization　is　not　so　effective　compared　to　other　slender　structures　because　of　the　intrinsic　stiffness　of　the　concrete　shell　structure　itself,　the　area　of　shell　regions　where　tensile　stresses　arose　was　however　clearly　minimized.