This　paper　proposes　an　FEA　method　to　study　the　vibration　and　wave　propagation　in　functionally　graded　material　(FGM)　beams　with　multiple　inclined　cracks　by　introducing　the　local　flexibility　matrix　caused　by　the　cracks.　The　bending　and　tensile　stiffnesses　of　the　inclined　cracks　and　their　interaction　are　taken　into　consideration.　Two-node　(three　degrees　of　freedom　per　node)　beam　element　is　used.　The　inclined　cracks　are　equivalent　to　transversal　cracks　to　calculate　the　additional　flexibility　matrix　of　the　inclined　cracked　FGM　beam　element.　The　material　properties　of　the　FGM　beam　are　supposed　to　satisfy　the　exponential　law　along　its　thickness.　The　governing　equations　of　motion　for　the　FGM　beam　with　multiple　inclined　cracks　are　deduced　in　the　frame　of　Euler-Bernoulli　theory　and　Lagrange　function,　and　numerically　solved　by　the　Newmark　average　acceleration　method.　Both　theoretical　and　numerical　comparisons　are　presented　to　validate　the　present　method　for　the　inclined　cracked　FGM　beam　with　varying　boundary　conditions,　arbitrary　inclined　crack　angles　as　well　as　varying　inclined　crack　lengths.　The　effects　of　the　location,　length,　inclined　angle　and　number　of　the　inclined　cracks　as　well　as　material　property　ratio　on　the　fundamental　frequencies　and　wave　propagation　characteristics　of　the　inclined　cracked　cantilever　FGM　beams　are　comprehensively　investigated.