The effect of medium local relaxation, resulting from dipole reorientation, on a complex dielectric susceptibility is analyzed. The system of dipoles that have two possible orientations in space is considered. They can jump from one orientation into another. The dipoles are immersed into a condensed medium which adopts itself to a concrete orientation decreasing in such a manner the energy of the cluster including a dipole molecule (group) and the nearest environment. This process forms the range of energy states. Following from general continuity equations, the evolution of state populations was considered under initial conditions implying that the constant electric field was suddenly switched off. The decay of polarization is calculated which, in turn, allows one to calculate the frequency dependence of complex dielectric permeability using a one-side Fourier transform. Two relaxation maxima are observed to arise at low relaxation rate and with changes in the relaxation depth by a value comparable with kT. Both of the relaxation processes are interrelated. The high-frequency (β-) maximum is determined by dipole reorientation. The low-frequency (α-) maximum is determined by relaxation of the local environment followed by the change in dipole position. It is shown that the relaxation strength of both relaxation processes depends on the value of energy change with the local relaxation of a medium.