The impact of modified Fourier’s relation in non-linear mixed convective flow of third grade liquid is examined in this article. Stagnation point flow is considered. Variable thermal conductivity and thermal stratification are examined. Non-Fourier heat flux in heat transfer process is retained. Convergent local similar solutions for the nonlinear differential systems are achieved by homotopic procedure. Skin friction is computed and analyzed. Our computations certifies that velocity is higher when nonlinear convection and local buoyancy parameters are augmented. However temperature and thermal layer thickness are reduced for larger thermal relaxation factor. Keywords: Non-Fourier’s approach, Non-linear mixed convection, Third grade liquid, Temperature-dependent conductivity, Stagnation point flow