An agitating or dispersing apparatus (1) with a hermetically sealed mixing chamber (5), an agitating or dispersing tool (2) that can be driven in this mixing chamber (5) about a central axis and with a rod-shaped element (3) for transferring the power of a drive (4) onto this tool (2), and with the drive (4) located outside of the mixing chamber (5). The rod-shaped element (3) is connected at the entrance into the mixing chamber (5) to a membrane (6) that is part of a wall (7) of the mixing chamber (5), and the rod-shaped element (3) can be put in a wobbling motion by the drive (4) so that its end inside the mixing chamber (5) executes a circular motion. The end of the rod-shaped element (3) located in the mixing chamber (5) attacks the tool (2) eccentrically to its axis of rotation.