A stirring or dispersing device (1), has a hermetically sealed mixing chamber (5), a tool (2), and a drive mechanism (4) located outside of the mixing chamber (5). The tool (2) can be driven around a central shaft in the mixing chamber (5) which has a rod-shaped element (3) for force transmission from the drive mechanism (4) to the tool (2). The rod-shaped element (3) is connected at the entry to the mixing chamber (5) with a diaphragm (6), which is a part of the wall (7) of the mixing chamber (5), and the rod-shaped element (3) can be put into a wobbling movement by the drive mechanism (4), so that its end located in the interior of the mixing chamber (5) performs a rotating movement. The tool is constituted by a number of grinding elements (22) or balls to be introduced into the mixing chamber (5).