This　paper　presents　the　characteristics　of　the　crack　growth　at　the　interface　of　rubber-rubber　and　rubber-steel　bimaterials　under　tensile　deformation　using　the　non-linear　finite　element　method.　By　using　the　commercial　finite　element　software　ABAQUS,　the　J　integral　calculations　are　carried　out　for　the　initial　interface　crack　in　the　interfaces　in-between　two　Neo-Hookean　materials,　two　Mooney-Rivlin　materials,　Neo-Hookean　and　Mooney-Rivlin　rubbers,　Neo-Hookean　and　Polynomial,　Mooney-Rivlin　and　Polynomial,　and　the　Mooney-Rivlin　and　steel　bi-materials.　The　computational　results　of　the　maximum　J　integral　direction　around　the　crack　tip　illustrate　the　possible　direction　of　crack　growth　initiation.　Furthermore,　it　is　found　that　the　crack　bends　to　the　softer　rubber　material　at　a　certain　angle　with　the　initial　crack　direction　if　the　crack　depth　is　relatively　small.　For　the　crack　with　a　larger　depth,　the　crack　propagates　to　grow　along　the　interface　in-between　the　bimaterials.　©　Science　China　Press　and　Springer-Verlag　Berlin　Heidelberg　2011.