We have made aperture synthesis (CO)-C-12(J = 1-0) observations of a T Tauri star, GG Tau, in Taurus with 8'' resolution using the Nobeyama Millimeter Array (NMA). We have discovered a rotating gas disk having a radius of about 500 AU around GG Tau. The rotation velocity is 0.8 km s-1/sin i at the radius, which is roughly consistent with a Kepler rotation around the central star. The inclination angle of the disk, i, is estimated to be about 60-degrees, and the gas kinetic temperature is estimated to be about 8 K at that radius. The lower limit of the molecular gas mass in the disk is obtained to be 1.0 x 10(-4) M. by assuming that the CO line is optically thin, and the upper limit is estimated to be about 0.4 M. from kinematical consideration. This would be the first example of the resolved protoplanetary gas disk with an AU scale of several 100.