<p>This study investigates the boundary layer flow of a three-dimensional MHD (Zn: SiO₂ / H₂O) hybrid nanofluid, using water as the base fluid with variable thermal conductivity, under the influence of velocity slip. The analysis is performed over a stretching sheet subjected to a convective boundary condition. In this study focus on the rate of heat and mass transfer across the three-dimensional porous stretching sheet. The hybrid nanofluid is more contain thermal conductivity as compared to common fluid. The applications of hybrid nanofluid and Hall current are so many like as cooling system, heat exchanger systems, medical field, electrical and electronic engineering, fusion reactors, space physics, MHD generators, and re-entry vehicles. The model equations along with the boundary conditions were transformed into a system of ordinary differential equations (ODEs) to facilitate the analysis of the flow. Numerical solved with shooting technique (bvp4c) package in the MATLAB, results are described in the form of tables and graphs. Illustration of numerically and graphically is used explain the behavior of various physical parameters. The influences of the magnetic (<i>M</i>), rotational (<i>λ</i>), velocity slip (<i>β</i>) and Hall current (<i>m</i>) parameters on the both components of fluid velocity profiles are reduced. The effects on the temperature profiles of the fluid enhanced across the thermal conductivity (<i>ϵ</i>), heat source/sink (<i>Q</i>), Biot number (<i>Bi</i>) with shape factor of nanoparticles (<i>n</i>). Rate of heat transfer is enhanced by 81% when changing at <i>Bi</i> = 0.2 to 0.4, according to the results of the study. In addition, a 13% decrease is observed when the thermal conductivity (<i>ϵ</i>) grows from 0.5 to 1.5. This study results at different values of (<i>λ</i>) are strong argument with previous results.</p>