The scattered fields of a line source by a perfectly conducting convex hyperbolic reflector are obtained. The scattering integral is constructed using the method of modified theory of physical optics. The fields of reflected geometrical optics and nonuniform edge diffracted are evaluated using the asymptotic methods of stationary phase and edge point technique, respectively. The uniform diffracted field expressions are obtained by the method of uniform theory of diffraction. The field expressions are plotted and analysed numerically.