Numerical study on magnetohydrodynic (MHD) flow and heat transfer of incompressible CNTs-water nanoparticles (single wall carbon and tube (SWCNT) and multiwall cabin nanotube (MWCNT)) as a non-Newtonian micropolar dusty fluid influenced by non-linear thermal radiation and joule heating effect over stretching plate are investigated in this paper. The governing equations have been solved by numerical method. Flow and heat transfer for two cases of prescribed heat flux (PHF) and prescribed surface temperature (PST) are analyzed, As a important result have been mentioned to the reduction of velocity profile due to the Lorentz force by increasing magnetic field parameter, the temperature profile increases by increasing radiation parameter, and MWCNT in comparison to the SWCNT has a greater effect on velocity profile also SWCNT in compared to the MWCNT has a greater effect on temperature profile and heat transfer. (C) 2018 Elsevier B.V. All rights reserved.