Reflection　and　transmission　coefficients　of　plane　waves　with　oblique　incidence　to　a　multilayered　system　of　piezomagnetic　and/or　piezoelectric　materials　are　investigated　in　this　paper.　The　general　Christoffel　equation　is　derived　from　the　coupled　constitutive　and　balance　equations,　which　is　further　employed　to　solve　the　elastic　displacements　and　electric　and　magnetic　potentials.　Based　on　these　solutions,　the　reflection　and　transmission　coefficients　in　the　corresponding　layered　structures　are　subsequently　obtained　by　virtue　of　the　propagator　matrix　method.　Two　layered　examples　are　selected　to　verify　and　illustrate　our　solutions.　One　is　the　purely　elastic　layered　system　composed　of　aluminum　and　organic　glass　materials.　The　other　layered　system　is　composed　of　the　novel　magnetoelectroelastic　material　and　the　organic　glass.　Numerical　results　are　presented　to　demonstrate　the　variation　of　the　reflection　and　transmission　coefficients　with　different　incident　angles,　frequencies,　and　boundary　conditions,　which　could　be　useful　to　nondestructive　evaluation　of　this　novel　material　structure　based　on　wave　propagations.