[en] Using the ARGUS detector at the DORIS II storage ringe we have studied the production of antideuterons in e⁺e^- annihilation at centre-of-mass energies around 10 GeV. From 21 events containing anti d candidates we determined the inclusive cross section 1/σ_dir^hadxdσ/dp and the production rate in direct hadronic Υ(1S), Υ(2S) decays, which was measured to be (6.0±2.0±0.6)x10^-5 anti d per event while in the continuum e⁺e^- → qanti q only an upper limit of 1.7x10^-5anti d per event (90% CL) could be obtained. Comparisons with a simple model and other ARGUS measurements hint at the underlaying production mechanism of antideuterons. (orig.)