The present work deals with steady MHD silver water (Ag-H2O) nanofluid flow and heat transfer across a vertical porous plate involving heat generation/absorption and suction/injection parameter. To investigate the energy equation, we apply the Cattaneo-Christov heat flux theory. The ruling equation of momentum and energy are converted into a system of nonlinear differential equations with the aid of the convenient similarity transformation. The homotopic procedure is implemented to find out the solution. The impact of significant parameters as magnetic parameter, heat generation/absorption parameter, suction/injection parameter, Prandtl number and nanoparticle theromophysical constant on dimensionless flow velocity and temperature study are depicted through the tables and graphs. A great agreement between the results available in literature and suggested technique is achieved. Calculations of skin friction coefficients and Nusselt number are demonstrated via tables. The outcome reveals that the momentum boundary layer thickness shrinks by enhancing the volume of Ag-nanoparticles.