Abstract: The study on unsteady Heat Transfer to MHD Oscillatory flow of Jeffrey fluid through a porous medium under slip condition was investigated. The dimensionless governing equations are solved using perturbation technique. The analytical expressions for the velocity, temperature, skin friction or shear stress of the fluid have been obtained. The effects of flow parameters of Jeffrey fluid, Grashof number, Hartmann number, Slip parameter, porosity parameter, radiation parameter and frequency of the oscillation are carried out. The result obtained shows that velocity and skin friction decreases with increasing Hartmann number. It was also observed that the velocity and skin friction increases with increasing in Darcy number. The results obtained for Jeffrey fluid parameters was computed for velocity and skin friction shows that the velocity increases with increasing Jeffrey fluid parameter and skin friction decreases with increasing Jeffrey fluid parameter.