The problem of optimally controlling a delay-differential system to a final function ia investigated, and necessary conditions for an optimal control are obtained. Sufficient conditions are also obtained for certain linear control systems. The final function condition is replaced by (i) a control-state variable equality constraint and (ii) a final point condition. The necessary condition derived is in the form of a point-wise maximum principle with non-triviality condition in the adjoint variable. The result ia shown to be valid for the problems with bounded controls.