Nickel　alloys　are　widely　used　in　aerospace　and　defense　industries　due　to　their　excellent　high-temperature　characteristics.　In　order　to　increase　fatigue　resistance　and　oxidation　corrosion　resistance,　aerospace　curved　surface　parts　always　need　to　be　strengthened　using　laser　shock　peening　technology　on　five-axis　machines.　However,　it　is　easy　to　generate　dense　laser　spots　in　certain　regions　during　the　process,　which　might　lead　to　an　uneven　distribution　of　residual　stress　on　surfaces　of　the　component.　To　address　this　issue,　the　study　investigates　the　problem　of　excessive　spot　overlap　rate　at　large　curvature　positions　caused　by　a　mismatch　between　the　surface　curvature　of　curved　components　and　the　dynamic　performance　of　equipment,　then　proposes　an　optimization　algorithm　for　motion　control　based　on　linear　interpolation　principles.　By　analyzing　the　relationship　between　the　feed　rate　of　the　program　segment　and　the　actual　feed　rate,　the　speed　of　each　axis　of　the　machine　tool　is　confirmed　and　adjusted,　and　the　control　flow　of　the　optimization　algorithm　is　established.　The　feasibility　of　the　algorithm　is　preliminarily　verified　by　comparing　the　changing　trend　of　feed　rate　before　and　after　optimization　through　simulation.　In　actual　laser　shock　peening　experiments　on　nickel　alloy　spherical　shell　elements,　the　laser　spot　distribution　on　the　surface　of　the　component　is　uniform,　and　the　relative　error　range　between　the　actual　overlap　ratio　and　the　theoretical　value　can　be　controlled　within　5%,　demonstrating　the　correctness　of　the　optimization　algorithm.　This　study　can　significantly　improve　the　surface　machining　quality　of　curved　components　and　have　practical　applications.