[en] After a presentation of the physical framework and notions of observational cosmology, the author of this research thesis presents the phenomenon of gravitational micro-lensing on which AGAPE (Andromeda Galaxy Amplified Pixel Experiment) is based to detect the possible presence of baryonic black matter under the form of MACHOs (Massive compact halo objects, one of the possible candidates for black matter) within the halo of our galaxy and in that of a far galaxy, M31. He gives a precise description of observations performed by AGAPE at the Pic du Midi between 1994 and 1996. In order to observe M31, a new method has been developed (the pixel method) which is based on the light curve of each pixel of the M31 image. The author then reports the processing of light curves which notably aimed at reducing the discrepancy of points on these curves and at allowing a selection of interesting curves to be performed. He reports the characterisation of the searched signal from these curves, and then discusses the obtained results