The　analytical　solutions　for　the　diffraction　of　the　short-crested　wave,　the　cnoidal　wave,　and　the　solitary　wave　incident　on　a　composite　bucket　foundation　of　an　offshore　wind　turbine　are　derived　in　this　paper.　The　analytical　expressions　for　the　pressure,　wave　run-up,　and　wave　force　on　the　composite　bucket　foundation　are　obtained.　Based　on　the　numerical　results,　it　is　found　that　the　short-crested　wave　run-up　is　affected　by　the　wave　phase,　the　cnoidal　wave　run-up　is　affected　by　the　wave　parameter　lambda,　and　the　solitary　wave　run-up　is　affected　by　the　wave　parameter　chi.　For　a　composite　bucket　foundation,　the　long-crested　wave　force　is　larger　than　the　short-crested　wave　force　and　the　solitary　wave　force　is　larger　than　cnoidal　wave　force　in　certain　shallow　water　conditions.　Moreover,　the　short-crested　wave　force　may　first　increase　and　then　decrease　with　the　increase　in　the　water　depth,　while　the　cnoidal　wave　force　and　the　solitary　wave　force　monotonically　increase　with　the　increase　in　the　water　depth.　In　the　design　of　the　offshore　wind　turbine　with　composite　bucket　foundation,　it　will　be　more　conservative　if　the　formula　derived　from　the　plane　waves　is　used　as　design　criteria　in　a　short-crested　sea,　and　the　wave　force　in　shallow　water　should　be　determined　by　the　solitary　wave　and　the　cnoidal　wave　together.　Published　by　AIP　Publishing.