Literature pertaining to history of the Cenozoic glaciation in Antarctica and its influence on sedimentation in marginal areas of the continent and deep-water domains of the Southern Ocean are reviewed. Original data obtained by G.L. Leichenkov on seismostratigraphy of the East Antarctica margin are also used. Particular attention is paid to the history of silica accumulation, ice-rafted material deposition, and formation of contourites. The results make it possible to define the following main stages of Antarctic glaciation in the Cenozoic: (1) middle-late Eocene; (2) Oligocene; (3) early Miocene; (4) middle Miocene; (5) late Miocene-early Pliocene; and (6) late Pliocene-Holocene.