The invention relates to a multileaf collimator having a plurality of leaves mounted displaceably in an adjusting direction for establishing a contour of a beam path. Each displaceably mounted leaf is assigned at least one linear drive having at least one piezoelectric actuator for displacing the leaf in the adjusting direction. Because the piezoelectric actuator can be driven precisely, an improved radiation therapy can be achieved, particularly in the case of a radiation therapy device having a multileaf collimator of said kind, owing to precise establishing of the contour.