The boundary layer flow and heat transfer analysis of viscous incompressible electrically conducting and Jeffrey fluid model for viscoelastic nanofluid over a stretching sheet under the effects of magnetic field and thermal radiation is investigated. The governing partial differential equations reduced into a set of coupled non linear ordinary differential equations by using suitable similarity transformations which are solved by variational finite element method. Behaviour of flow parameters are presented and discussed for velocity, temperature, nanoparticle volume fraction, local nusslet number and local Sherwood number.