Optical performance of a two-dimensional compound elliptic lens (2D-CEL) for a photovoltaic static concentrator module has been studied as a function of half-acceptance angle using an yearly distributed insolation model. The maximum yearly averaged optical concentration ratio of 1.75 was obtained for global radiation when the 2D-CEL was installed at a tilt angle equal to the latitude of Tokyo (N35 degrees). Also, the 2D-CEL was found to be more advantageous for collection of direct and diffuse radiations than a conventional, compound parabolic concentrator. In the case where the 2D-CEL is installed at st tilt angle of 20-35 degrees, the maximum yearly integrated irradiance collected on the receiver was found to be 1.45 at a suitable half-acceptance angle.