Anisotropic metal nanoparticles strongly change the scattered light polarization compared with isotropic nanoparticles, and this property can be utilized in a sensitive bimolecular recognition due to the high contrast that could be achieved in polarization microscopy. We report a study of the shape anisotropy in nearly spherical gold nanoparticles and particle dimers. It was obvious that each particle has its own scattering polarization dependence which reflects the relative changes in morphologies. Our experimental results reveal that particles with minimum anisotropy don't change the scattering light polarization which indicates their homogenous shape. Another particles show polarization dependence scattering intensity due to pronounced anisotropy. Particle dimers possess shape anisotropy that is characterized by a different polarizability for each axis in the nanostructure. We resolved the internal inhomogeneity in single particles and particle dimers using a qualitative analysis which enabled us to etermine the polarizabilities of both long and short axes for each particle and particle pair. A few of single particles show a strong optical anisotropy relative to their shape anisotropy, and even this observation was not yet clarified, it could be used in a sensitive bimolecular detection.