The study of spectra of internal friction λ=fT and temperature dependencies of frequency of freely damped ν=fT oscillatory process excited in investigated samples of polyethylene with different degree of crystallinity in the temperature range from −150 °C to +150 °C. It is established that four local dissipative processes of different intensity shown in different temperature intervals are observed on the spectra λ=fT. These are μ, β, α, βk processes. The theoretical analysis of the relationship between the anomalous changes of the vibrational process frequency ν=fT and the shift modulus defect ΔG=fT and the internal friction mechanisms for each of the dissipative loss processes detected on the spectrum λ=fT is carried out. The influence of supramolecular structures on local dissipative βk process in polyethylene is estimated.