As gel molecules form a gel network, molecular chain segments are intertwined to form physical crosslinking, which affects significantly their mechanical behavior. To study effect of entanglement formed by physical cross-linking on deformation behavior and solvent distribution of core-shell composite gels, a mathematical model is developed in finite elasticity of core-shell composite gels based on tensor derivation. And a slip-link chain entanglement model was introduced. It shows that under the influence of rigid core, tensile behavior of gel shell is anisotropy. Distribution of solvent in the gel shell is non-uniform. It increases nonlinearly from inside to outside. Solvent diffusion in gel does not satisfy Ficks law. The higher the degree of chain entanglement is, the lower the radial and circumferential extension ratio of gel shell, and the lower the swelling ratio are.