The scattering of light is considered with allowance for spatial dispersion of the medium. The Green's function for an electromagnetic field in a homogeneous medium with spatial dispersion is written down and the respective scattering intensity is calculated. The results are used to investigate the scattering of light in isotropic gyrotropic media. Fluctuations of the dielectric tensor (symmetric scattering) and of the gyrotropy (antisymmetric scattering) are taken into account. Scattering associated with fluctuations of the order parameter is considered in detail for physically diverse cases: the mixture stratification point, the phase transition in an intrinsic ferroelectric, the transition from the isotropic to the ordered phase of a cholesteric liquid crystal. The description is carried out in terms of circularly polarized waves. The angular and polarization dependences of the scattering intensity are calculated.