This study is aimed to examine thermal slip flow of mixture based hybrid ferro-fluid with shape effect of nano-particles and partial slip under the constant influence of Stefan suction/blowing impacts. Thermal slip flow is magnetized with applied time-dependent magnetic force in transverse direction of flow. Partial slip impact is considered on magnetized hybrid ferro-fluid. Additionally, spherical shaped nano-particles have been accounted to constitute the desired hybrid ferro-fluid whereas distinct shape nano-particle effect is analyzed and discussed for heat transfer efficiency. The flow governing highly nonlinear equations are transformed into ordinary differential equations using suitable similarity transform. Furthermore, motion and temperature profile for spherical shaped nano-particles of hybrid ferro-fluid are analyzed and discussed under the impression of suction and blowing effect. It is observed that in the event of mass suction S=1 and partial slip 0.2≤Sf≤0.6 reduced shear stress rates and high rates of heat transfer are obtained. It is concluded that high Lorentz force under suction/blowing effect contract thermal boundary of flow. Laminar shape nano-particle increase temperature profile when compared with other shapes of nano-particles.