The main stages of the development of industrial Ag-Al(2)O(3)catalysts for the gas-phase epoxidation of ethylene are considered. The greatest attention is paid to the methods of preparation aimed at increasing the productivity of the last-generation catalyst systems. The results of the studies of alternative heterogeneous systems based on silicates modified by Ti, Nb, and W for liquid-phase epoxidation of ethylene with H2O2 are also summarized. The reasons and methods for solving the problem of their low activity/productivity and stability are analyzed, the directions of increasing the H2O2 utilization efficiency are evaluated.