The sensitive detection of H//2 molecules was demonstrated by means of two-photon excited laser-induced fluorescence spectroscopy with a narrow-band ArF excimer laser. A detection limit of 2 multiplied by 10**1**4 cm** minus **3 was obtained with an excitation power of Approximately 150 kW. This is already comparable with that obtained by the coherent anti-Stokes Raman scattering (CARS). This technique was successfully applied to measure a spatial distribution of H//2 in a town-gas burner.