A method for characterizing an anisotropic soft medium (C) including fibers and having an outer surface (1), by observing in different propagation directions, the propagation of a divergent shear wave from a central area (10) in the anisotropic soft medium. A propagation parameter of the shear wave is inferred therefrom in each of the propagation directions, and then a direction of the fibers of the anisotropic soft medium, a rheological elasticity parameter are determined in a direction perpendicular to the fibers and a rheological elasticity parameter in the direction of the fibers.