The idea of two amorphous fractions in polymer is discussed. In order to clarify the influence of specific arrangement of chains on a glass transition, semi-crystalline polymer with various supermolecular structures was studied. It was possible to find two glass transitions well separated. The orientation of the amorphous regions induced by semi-crystallinity results in the appearing of the constrained and unconstrained amorphous structures. Both types of amorphous fractions are distinguished in this paper that give better descriptions of alpha-relaxations. In a serious of experimental studies of chains mobility and free volume, our attention has been given to elucidation of the correlation between the glass transition, the alpha-relaxation and the free volume of polymeric system. Non-Arrhenius and Arrhenius types of temperature dependence of the relaxation times were found for the 'real' and the 'semi-ordered' amorphous fraction, respectively. Differential scanning calorimetry, dynamic mechanical thermal analysis and positron annihilation lifetime spectroscopy were applied.