A convergence control apparatus for a video display is provided. In the apparatus, a convergence controller receives a vertical synchronization signal and a horizontal synchronization signal and then outputs a vertical convergence correction voltage and a horizontal convergence correction voltage. An amplifier receives and amplifies the vertical convergence correction voltage and the horizontal convergence correction voltage. A correction current generator receives the amplified vertical convergence correction voltage and the amplified horizontal convergence correction voltage and then generates a vertical convergence correction current and a horizontal convergence correction current. A switching unit controls the vertical convergence correction voltage and the horizontal convergence correction voltage according to the horizontal synchronization signal.