In this paper, magnetohydrodynamic (MHD) boundary layer flow and heat transfer of an incompressible Graphene oxide (Go)-engine oil nanoparticle on micropolar fluid with homogeneously suspended dust particles over a stretching sheet in the presence of thermal radiation and Joule heating are investigated. After transforming the PDEs governing the problem into ODES, Runge-Kutta Fehlberg fifth fourth order numerical method is applied. The main criterion of this paper is to study the effects of different parameters and dimensionless numbers on velocity and temperature distribution in two phases of fluid and dust for two PST and PHF cases. Velocity reduction in both fluid and dust-phases is due to the Lorentz force against flow by increasing Hartman number, enhancement of temperature and thickness of thermal boundary layer are due to the increase of radiation parameter and Eckert number for both PST and PHF cases are the most important results. Also, in the final section of this paper, the effect of changes in the value of different parameters on skin friction coefficient and local Nusselt number in (PST and PHF cases) have been discussed. (C) 2018 Published by Elsevier B.V.