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The observation of the production of antihydrogen atoms H0 = pe+, the simplest atomic bound state of antimatter, is presented. A method has been used by the PS210 collaboration at LEAR which assumes that the production of H0 is predominantly mediated by the e+e--pair creation via the two-photon mechanism in the antiproton-nucleus interaction. Neutral H0 atoms are indentified by a unique sequence of characteristics. In principle H0 is well suited for investigations of fundamental CPT violation studies under different forces, however, in our investigations we concentrate on the production of this antimatter object, since so far it had not been observed. The production of eleven antihydrogen atoms is reported including possibly 2 ± 1 background signals, the observed yield agrees with theoretical predictions.