Delayed differential equations (DDEs) are a suitable candidate for modeling many physical systems with time delay in various science disciplines.A study of the effect of time delay on the dynamics of mathematical models gives insight into possible mechanism behind the observed behaviour.The study of double Hopf bifurcation has recently attracted particular attention as the bifurcation exhibits rich dynamical behaviour and creates complicated motions which reflect the intrinsic properties of the system.However.the investigation of DDEs is rather difficult since such systems are of infinite dimension.The current method of Center Manifold Reduction (CMR) is tedious for the study of double Hopf bifurcation.