To　study　a　generalized　path　algebra　on　the　quiver　Δ,　all　its　indecomposable　projective　modules　and　injective　modules,　and　simple　modules　were　constructed　by　using　a　complete　set　of　its　orthogonal　primitive　elements.　Based　on　the　properties　of　hereditary　algebras　a　sufficient　and　necessary　condition　for　a　generalized　path　algebra　R=k(Δ,　A)　to　be　hereditary　was　proposed.　Furthermore,　the　Hochschild　cohomology　of　R=k(Δ,　A)　based　on　homology　theory　and　Hochschild　cohomology　of　a　finitely　dimensional　algebra　was　obtained.　©　2016,　Beijing　University　of　Technology.　All　right　reserved.