In　this　paper,　a　frequency　correction　method　based　on　axisymmetric　function　is　presented　first　and　the　analytical　solutions　of　three　forms　of　axisymmetric　equations　with　three　points　are　developed　to　correct　the　frequency.　A　complex　exponent　signal　with　exact　solution　is　used　to　demonstrate　the　accuracy　and　theory　of　the　proposed　method　by　comparing　it　to　the　traditional　methods　with　fast　Fourier　transform.　(FFT)　Moreover,　the　proposed　method　is　applied　in　solving　for　a　frequency　identification　of　free　attenuation　vibration　signal　based　on　finite　element　model　of　actual　building　structure　and　the　results　show　a　good　agreement　with　experimental　and　structural　modal　simulation　results,　which　demonstrates　the　validity　of　the　proposed　method　for　solving　frequency　problems　of　building　structure　and　others.　©　Published　under　licence　by　IOP　Publishing　Ltd.