A cylinder lock having a cylinder housing and a cylinder core rotatably supported in the cylinder housing, wherein the cylinder housing has at least one tumbler blocking recess (15, 15') and a latch blocking recess; wherein a plurality of disk tumblers are provided in the cylinder core, with each of the plurality of disk tumblers having an engagement section (23, 23') and being movable between a latched position and an unlatched position, with the engagement section (23, 23') engaging into the tumbler blocking recess (15, 15') of the cylinder housing in the latched position and being brought out of engagement with the tumbler blocking recess (15, 15') in the unlatched position, and with at least one of the plurality of disk tumblers having a latch reception recess; wherein the cylinder lock furthermore has a latch element which has a latch tip and a blocking section, with the latch element being movable between a blocking position and a release position and being preloaded into the release position, with the blocking section engaging into the latch blocking recess of the cylinder housing in the blocking position, and with the latch tip engaging into the latch reception recess of the at least one disk tumbler and the blocking section being brought out of engagement with the latch blocking recess of the cylinder housing in the release position; wherein the at least one disk tumbler has, adjacent to the latch reception recess, at least one latch catching recess (49a, 49a', 49b, 49b') into which the latch tip of the latch element catchingly engages when the at least one disk tumbler is displaced out of the unlatched position by a first path length, with the latch catching recess (49a, 49a', 49b, 49b') being less deep than the latch reception recess of the disk tumbler; wherein the latch element has a connection section between the latch tip and the blocking section, said connection section being narrower with respect to a tangential direction about the axis of rotation of the cylinder core than the blocking section of the latch element; wherein a holding plate is associated with the latch element and has a support opening, with the connection section of the latch element penetrating through the support opening when the latch element is in the blocking position; wherein, when the at least one disk tumbler is in the latched position and the latch element is in the blocking position, a first rotary clearance exists between the blocking section of the latch element and the latch blocking recess of the cylinder housing with respect to a rotary actuation of the cylinder core, a second rotary clearance exists between the connection section of the latch element and the support opening of the associated holding plate, and a third rotary clearance exists between the engagement section (23, 23') of the at least one disk tumbler and the tumbler blocking recess (15, 15') of the cylinder housing; and wherein the first rotary clearance is smaller than the second rotary clearance and the second rotary clearance is smaller than the third rotary clearance such that the latch element can tilt or cant when a torque is exerted onto the cylinder core in a rotary direction of opening while the latch element is in the blocking position.