In this paper, heat transfer of linearly stretched curved surfaces of unsteady magnetized micropolar fluid flow is discussed. Impacts of velocity and thermal slip are considered on the linear curved stretching surface. The mathematical model is assembled under the flow suppositions derived from the classic Navier Stoke equations. This model is reduced to a system of coupled nonlinear differential equations by means of boundary layer approximations. Differential equations become dimensionless when the similarity transformations are applied. The dimensionless system is solved through numerical techniques. The involved dimensionless parameters effects a range of parameters, including the unsteady parameter, magnetic parameter, velocity slip parameter, curvature parameter, micropolar parameter, reciprocal magnetic Prandtl number, dimensionless parameter, Biot number and Prandtl number, all of which are studied in relation to the Nusselt number, skin fraction, velocity profile, temperature profile, micropolar profile and magnetized profile. We provide a robust discussion, and evidence our findings graphically and in tables. Key outcomes of this work include findings such as, the unsteady parameter enhances as thermal and momentum boundary layer decreases. Also, the skin friction rises for increasing curvature parameters, but Nusselt number declines when the curvature parameters rises.