Description:The results of special research project carried out for ''Molecular approaches to non-equilibrium process in solution'' were presented during the 42nd Yamada Conference on ''structure, fluctuation and relaxation in solution'' which was held from 11-15 December, 1994. The following topics were discussed at the conference: 1. Solvation dynamics. 2. Relaxation, fluctuation and reaction dynamics. 3. Dynamic structure and reaction mechanism in solution. These topics were the main concern of this conference.