A device for cutting a tissue part (10a) from a tissue (10) by means of focussed laser radiation comprises the following: - a suction ring (28) with a sealing surface (42) that can be placed onto a surface (22) of the tissue (10), - means (34, 36, 46) for generating an underpressure in a hollow space (38) delimited by the sealing surface (42), by the surface (22) of the tissue (10) and by the suction ring, - an applanation plate (30) that can be pressed for shaping onto the surface of the tissue (10), and - a body (40) through which the laser radiation does not pass and which cooperates with the suction ring (28) and, with its inner edge (40a), defines an edge (14) of the tissue part (10a).
