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Synchronization in an array of mutually coupled systems with a finitetime-delay in coupling is studied using Josephson junction as a model system.The sum of the transverse Lyapunov exponents is evaluated as a function of theparameters by linearizing the equation about the synchronization manifold. Thedependence of synchronization on damping parameter, coupling constant andtime-delay is studied numerically. The change in the dynamics of the system dueto time-delay and phase difference between the applied fields is studied. Thecase where a small frequency detuning between the applied fields is alsodiscussed.

Phase effects on synchronization by dynamical relaying in delay-coupled systems