Cutting device (1) for shaping a plant (50), such as a boxwood bush, comprising at least one cutting cylinder unit (2), the cutting cylinder unit (2) comprising:
- a cutting cylinder (7) having a surface of revolution (11) which is rotationally symmetrical with respect to a cylinder centre axis (10) and having cutting members (8) provided along the said surface of revolution;
- a cylinder drive (9) for driving the cutting cylinder (7) in rotation about the cylinder centre axis (10);
- a cutting edge (12) which is provided along the outside of the surface of revolution (11) for interacting in a cutting manner with the cutting members (8);
- characterized in that the surface of revolution (11) and the cutting edge (12), as seen in the direction of the cylinder centre axis (10), have corresponding curvatures.