Abstract: This generator for supplying high-frequency power to an arc lamp (12), coises:a primary circuit (1) connected up to the terminals (5, 6) of the power-supply mains and incorporating an electromagnetic inductor (L', T) connected to a resonant circuit (7);a secondary circuit (2) comprising, in series, the arc lamp (12) and an electromagnetic sensor (E.sub.1, E.sub.2) making it possible to provide magnetic coupling with the primary circuit (1) at high frequency.The secondary circuit (2) is formed by two electrical circuits (10, 11) mounted in parallel with the terminals of the lamp (12), each of the two circuits incorporating an electromagnetic sensor coupled with the electromagnetic inductor of the primary circuit (1).