The high-spin states in 39Ar at 2651, 3992, 4543, and 5536 keV were excited in oxygeninduced fusion-evaporation reactions. Mean lifetimes of r,, = 1.0 _+ 0.2, 1.2 + 0.3, 1.6 _-t-0.3, and < 1 ps were determined for these levels, respectively, by means of the recoil distance Doppler shift technique. The transition rates are discussed in terms of the Bansal-French weak-coupling model.