Subject introduced in the present analysis is the role of dust particles in a conducting dusty nanofluid, past a stretching surface. Thermal conductivity which affects the nanofluid heat transfer is conducted by a suitable model known as Maxwell model. Both the dust and nano particles considered here are spherical. The entire flow phenomena i.e. the momentum and energy is characterizes by taking cupper- and silver- nano particles. The nonlinear fluid phase and dust phase governing equations are transformed to ordinary differential equation with the suitable choice of transformed variables which arises the characterizing parameters for the flow phenomena. Solutions of the coupled ODEs are performed numerically. The role of nanoparticle volume fraction and number density of dust particle along with magnetic field are also important for the heat transfer. The influence of parameters such as dust particle mass concentration, fluid particle interaction parameter, Eckert number, effective specific heat parameter, on momentum and heat profiles are presented through graphs. Verification of current study is obtained by comparing with the earlier study in particular cases and found to be in good agreement