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%e report the f~rst experimental verification of Berry's topological phase. The key element in the experiment was a single-mode, helica11y wound optica1 fiber, inside which a photon of a given helicity could be adiabatically transported around a closed path in momentum space. The experiment confirmed at the classical level that the angle of rotation of linearly polarized light in this fiber gives a direct measure of Berry's phase. The topological nature of this effect was also verified, i.e. , the rotation was found to be independent of deformations of fiber path if the solid angle of the path in momentum space stayed constant.

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