Enthalpic relaxation was investigated on the As2Se3 bulk glass with perfectly defined thermal history by differential scanning calorimetry (DSC). The relaxation enthalpy change, DeltaH, the parameters of the Tool-Narayanaswamy-Moynihan (TNM) relaxation model and the parameter of non-exponentiality, beta, were evaluated. It was found that beta is both temperature and time dependent. The value of enthalpy change necessary to reach a metastable equilibrium is less than that assumed on the base of a linear extrapolation of H(T) of a supercooled liquid. The glass transition was studied by a new stepwise DSC technique on the bulk As2Se3 and As2S3 glasses. The glass transition was found to be a superposition of two parts: a reversible or thermodynamic component, reflecting temperature changes of vibrational amplitudes, and an irreversible or kinetic process, so-called enthalpy relaxation. The value of the glass transition temperature, T-g, determined from the thermodynamic part of the glass transition was found to be independent on both the heating/cooling rate and the thermal history of glass. The T-g depends only on the chemical composition of the glass and thus it could be regarded as a material constant. Therefore the heating/cooling rate dependence of T-g, known from DSC or DTA measurements, is caused by a kinetic process with relaxation time dependent on structure and temperature.