A　new　constitutive　equation　for　rubber-like　materials　model　was　proposed.　The　model　is　based　on　the　Arruda-Boyce　(AB)　8-chain　non-Gaussian　molecular　network　to　which　two　new　terms　were　added.　Taking　into　account　the　effects　of　molecular　chain　entanglement　and　the　topological　constraint　on　the　transverse　motions　of　a　single　chain,　the　new　added　components　combine　the　phenomenological　theory　of　elasticity　for　rubber　vulcanizates　at　large　deformation　and　the　tube　theory　for　topological　constraint.　The　new　model　contains　five　parameters　which　are　obtained　by　fitting　the　uniaxial　Treloar　extension　data,　the　predictions　from　the　proposed　model　for　equi-biaxial　extension　and　pure　shear　are　in　good　agreement　with　test　data.　Moreover,　compared　with　some　available　models,　the　proposed　model　is　more　suitable　for　characterization　of　the　uniaxial　tension　mechanical　behavior　of　carbon　black　particles　filled　rubber　material.　©　2017　Trans　Tech　Publications,　Switzerland.