In the present work deals with the Natural convection Boundary layer flows of non-Newtonian Jeffrey’s fluid from a vertical Isothermal cone in the presence of Micropolar fluid regime. Using the Non – Similarity transformations, the governing partial differential equations are converted into ordinary differential equations and these equations are solved numerically by using an implicit finite difference Keller - Box method. The effects of Deborah number, ratio of relaxation to retardation times, micro – inertia density parameter, Prandtl number   and dimensionless stream wise co-ordinate on the velocity, temperature and angular velocity are evaluated in the boundary layer region, also find out the Nusselt Number. Increase the Deborah number retards the velocity, angular velocity and Nusselt Number while in enhance the temperature profile. Increase the vortex viscosity parameter in retards the velocity, temperature and the Nusselt number while enhance the angular velocity profile. Increasing the prandtl number the velocity, temperature and angular velocity profiles are in decreases, while the Nusselt number increased. Application of the model arise in polymer manufacturing processes in chemical engineering and also metallurgical materials processing. The present outcomes compare with the previously published work in the literature and are found to be an excellent agreement.