Convergence control apparatus of a projection television has: a pattern generator for generating a reference pattern; optical sensors for sensing the change of luminance of the reference pattern moving on a screen; and a convergence controller for compensating for the tilt of the reference pattern based on the output of the optical sensors. The optical sensors are respectively disposed at opposite sides on the screen. The convergence controller detects the angular error of the reference pattern distorted by earth's magnetic field, based on the difference between a standard position and a measured position of a maximum luminance of the reference pattern, and controls a deflection circuit to compensate for the angular error. When the image displayed on the screen is tilted by the influence of the earth's magnetic field, the tilt of the picture can be compensated. After completing the compensation for the angular error, a positional error of CRTs for R, G, and B colors is also compensated. The positional error can be accurately compensated with respect to each CRT, of which the influence of the earth's magnetic field is different from each other.