The　impact　of　ocean　waves　and　crosswinds　on　ships　has　long　been　a　focal　point　of　research　for　many　scholars.　This　paper　proposes　a　stochastic　ship　rolling　model　influenced　by　crosswinds,　ocean　waves,　and　time　delays.　The　safe　operating　region　for　ship　navigation　is　presented　through　the　phase　space　of　the　system.　A　quantitative　discussion　of　the　system　is　conducted　using　the　stochastic　Melnikov　function,　and　the　stochastic　P-D　bifurcation　of　the　system　is　discussed　using　topological　data　analysis　techniques.　The　research　indicates　that　incorporating　time　delay　feedback　can　effectively　enhance　the　system＇s　stability.