In　this　paper,　we　study　the　bifurcation　of　periodic　orbits　for　high-dimensional　piecewise　smooth　near　integrable　systems　defined　in　three　regions　separated　by　two　switching　manifolds.　We　assume　that　the　unperturbed　system　has　a　family　of　periodic　orbits　which　cross　two　switching　manifolds　transversely.　The　expression　of　Melnikov　function　is　derived　based　on　the　first　integral.　And　the　conditions　of　periodic　orbits　bifurcated　from　a　family　of　periodic　orbits　for　the　high-dimensional　piecewise　smooth　near　integrable　system　are　obtained.　The　theoretical　results　are　applied　to　the　bifurcation　analysis　of　periodic　orbits　of　two-degree-of-freedom　piecewise　smooth　system　of　nonlinear　energy　sink.　The　periodic　orbits　configurations　are　presented　with　numerical　method　and　the　number　of　periodic　orbits　is　three.　(c)　2022　Elsevier　B.V.　All　rights　reserved.