An　analytical　calculation　formula　was　proposed　to　investigate　earthquake　induced　hydrodynamic　pressure　on　a　uniform　cylinder　with　arbitrary　smooth　cross-section.　Based　on　the　radiation　wave　theory,　considering　water　compressibility,　the　exact　calculation　formula　for　hydrodynamic　pressure　on　a　uniform　cylinder　with　arbitrary　smooth　cross-section　was　derived　with　the　separating　variables　method,　and　its　coefficients　were　determined　utilizing　the　mode　orthogonality　of　water　and　expanding　a　continuous　smooth　function　into　a　Fourier　series.　The　proposed　formula　was　verified　through　calculating　the　earthquake　induced　hydrodynamic　pressure　on　rigid　uniform　elliptical　cylinders　and　round-ended　ones.　The　results　showed　that　the　proposed　calculation　formula　has　a　higher　accuracy.　©　2018,　Editorial　Office　of　Journal　of　Vibration　and　Shock.　All　right　reserved.