This paper presents a numerical analysis of the magnetohydrodynamic (MHD) flow of Carbon nanotube (CNT) nanofluid over a non-linear inclined stretching/shrinking sheet with heat generation and viscous dissipation. In this model, we used SWCNT-H2O and MWCNT- H2O as Nano liquids. By using the self-similar numerical solutions, the governing non-linear momentum and thermal boundary layer equations rehabilitated to ordinary differential equations. The resultant mathematical model is numerically solved with the assistance of R-K fourth order with shooting technique. Numerical exploration is completed by inspecting the various values of a magnetic field parameter, non-linear stretching/shrinking parameter, Richardson number, Eckert number, effective Prandtl number and a suction parameter for the flow and heat transfer which are obtainable through graphs. It is found that SWCNT-H2O nano liquid produce high heat transfer compared to MWCNT- H2O nano liquid. The validity of calculated results is analysed through the qualified level. Copyright © Italian Association of Chemical Engineering - AIDIC. All rights reserved.