The invention relates to a milk foaming device with a mixing chamber, which is arranged downstream of a steam supply pipe and which is connected to a milk and/or milk/air supply pipe, and a discharge device for the mixture arranged downstream of the mixing chamber, which has a number of discharge channels. The emitted milk foam flow is to be improved. To achieve this the discharge openings of the discharge channels are sloped at an angle to the cross-sectional plane of the discharge channel and the slope angles of the discharge openings of the discharge channels have the same vertex.