We　investigate　the　entanglement　of　formation.　for　a　class　of　high-dimensional　quantum　mixed　states.　We　present　a　kind　of　generalized　concurrence　for　a　class　of　high-dimensional　quantum　pure　states　such　that　the　entanglement　of　formation　is　a　monotonically　increasing　convex　function　of　the　generalized　concurrence.　From　the　monotonicity　and　convexity　the　entanglement　of　formation　for　a　class　of　high-dimensional　mixed　states　has　been　calculated　analytically.