As a counterpart to best approximation, the concept of best coapproximation in normed linear spaces was introduced by C. Franchetti and M. Furi [2] in 1972. This study was subsequently pursued in normed linear spaces and Hilbert spaces by H. Behrens, L. Hetzelt, P. L. Papini, Geetha S. Rao, Ivan Singer, U. Westphal, the author and a few others (see e.g. [3], [5], [7]). In this paper we discuss best coapproximation in metric spaces there by generalizing some of the results proved in [3], [7] and [8].