A reactor for the continuous preparation of ethylene glycol carbonate (EGC) or propylene glycol carbonate (PGC) from CO.sub.2 and ethylene oxide (EOX) or propylene oxide (POX), respectively, in EGC or PGC, respectively, already present as reaction medium, in the form of a bubble column, characterized by a) a slenderness ratio as ratio of height to diameter of 2 to 80, b) a feed, at the bottom end of the bubble column, for the EGC or PGC, already present serving as reaction medium, c) one or more metering sites for the starting materials CO.sub.2 and EOX or POX above the feed b), d) an outlet for the reaction mixture at the top end of the bubble column, e) a dividing device connected to d) for the reaction mixture flowing off for dividing it into reaction mixture to be taken off and worked up and reaction mixture to be recycled and f) a return line and to the feed b) for the reaction mixture to be recycled.