To　investigate　the　formability　of　polymer　under　local　heating,　Polyether　ether　ketone　(PEEK)　pyramid　parts　were　fabricated　by　single　point　incremental　forming　assisted　with　hot　air　local　heating.　The　effect　laws　of　local　heating　temperature　field,　step　size　and　feed　rate　on　the　forming　force　and　forming　accuracy　of　PEEK　parts　were　analyzed　by　single　factor　method.　The　results　show　that　the　forming　accuracy　of　the　parts　cannot　be　improved　by　preheating　treatment　before　forming.　The　effect　of　step　size　on　forming　force　is　more　significant　than　that　of　feed　rate.　At　different　forming　temperatures,　the　forming　force　of　the　parts　decreases　with　the　increase　of　the　temperature　of　processing　point.　The　effect　of　processing　point　temperature　on　the　forming　accuracy　of　parts　is　mainly　reflected　in　the　implicated　deformation　in　the　clamping　area.　The　accuracy　is　the　highest　when　the　part　is　formed　at　140　℃.　The　effect　of　step　size　and　feed　rate　on　the　forming　accuracy　of　parts　is　mainly　reflected　in　the　springback　and　side　wall　bulge　of　clamping　area.　The　parts　have　the　highest　forming　accuracy　with　the　feed　rate　of　1500　mm·min-1　and　the　step　size　of　0.　25　mm.　©　2023　Beijing　Res.　Inst.　of　Mechanical　and　Elec.　Technology.　All　rights　reserved.