Thermodynamics of complex open hierarchical natural systems, known as macrothermo-dynamics, studies the evolution and behavior of non-steady state systems using specific values of classical thermodynamic functions tending to extremum. The tendency of the specific value of the Gibbs function of intermolecular interactions to reach a minimum during the formation of a supramolecular organismic structure determines the variation of the chemical composition of living bodies and accumulation by biosystems of high chemical energy matter. The proposed model of the biological evolution makes it possible to substantiate and experimentally to demonstrate the possibility of accumulation and inheritance of thermodynamic features under constant (steady state) environmental conditions. The thermodynamic theory of the biological evolution does not contradict the dynamic theory of Darwin and Walles and reconciles it with some concepts promulgated by the opponents of Darwinism.