Generic well-posedness in a multidimensional hyperbolic inverse problem J.P.Puel and M.Yamamoto We consider two inverse problems for wave equatioms , namely identification of sources and identification of potentials. In the first case , we give a constructive result of uniqueness and stability showing the equivalence with an exact controllability problem. We study the second problem in its linearized version in a first step. We prove a uniqueness and stability result for a generic set of datas , using again an auxiliary exact controllabilty problem.We then apply these results for proving a local result of uniqueness and stability for the full problem. The whole paper is available as a compressed Postscript file by internet procedure FTP anonymous on host barbes.polytechnique.fr ( 129.104.4.100) in the directory pub/RI/1995 under the name puel_yamamoto_334.ps.gz or by Xmosaic or any other www client via the CMAP www server "http://blanche.polytechnique.fr/"