The　major　purpose　of　this　article　is　to　extend　the　field　synergy　principle　from　incompressible　fluid　flow　to　compressible　fluid　flow.　Theoretical　analysis　and　numerical　simulation　are　both　conducted.　Theoretical　analysis　indicates　that　for　compressible　boundary-layer　flow,　dot　production　of　static　pressure　gradient　and　velocity,　and　viscous　dissipation　could　be　involved　in　energy　equation,　which　are　absent　in　the　incompressible　boundary-layer　energy　equation.　Therefore,　the　heat　transfer　of　the　compressible　flow　is　determined　by　the　synergy　between　total　enthalpy　gradient　and　velocity,　instead　by　the　synergy　between　static　temperature　gradient　and　velocity,　thereby　extending　the　FSP　from　incompressible　fluid　flow　to　compressible　flow.　Detailed　numerical　analysis　is　conducted　for　the　compressible　boundary-layer　flow　to　numerically　verify　the　above　findings.　(C)　2015　Elsevier　Ltd.　All　rights　reserved.