Holder for a medical implant or a medical implant component, with a gripping portion and a holding portion, which holder has a. a base element arranged in the holding portion, and also b. at least two holding pins (4, 5), which are arranged spaced apart from each other in the holding portion and, from an outer face of the base element, each extend in the axial direction as far as a free end (12, 13); characterized by c. at least one receiving opening in the base element, which receiving opening passes through the base element from an inner face, lying opposite the outer face thereof, to the outer face and tapers continuously in the direction of the outer face over at least a portion, - wherein at least a first holding pin is designed as a holding pin inserted with play in the receiving opening and having an axial portion in which it has a tapering diameter in the direction of the free end, - wherein the first holding pin moreover has a pressure surface formed on its end lying on the inner face of the base element, - wherein the portion, in which the receiving opening continuously tapers, and the axial portion of the first holding pin with the tapering diameter are formed in such a way that, when the first holding pin sits in the receiving opening, it is pivotable, transversely with respect to its longitudinal axis, about a rotation point formed by interaction of the continuously tapering portion of the receiving opening and the axial portion of continuously tapering diameter of the first holding pin, and d. a pressure element, which is movable in the direction of the inner face of the holding portion and which acts on a portion of the pressure surface that is located to one side of a central axis of the first holding pin and does not cover this central axis. a. a base element arranged in the holding portion, and also b. at least two holding pins (4, 5), which are arranged spaced apart from each other in the holding portion and, from an outer face of the base element, each extend in the axial direction as far as a free end (12, 13); c. at least one receiving opening in the base element, which receiving opening passes through the base element from an inner face, lying opposite the outer face thereof, to the outer face and tapers continuously in the direction of the outer face over at least a portion, - wherein at least a first holding pin is designed as a holding pin inserted with play in the receiving opening and having an axial portion in which it has a tapering diameter in the direction of the free end, - wherein the first holding pin moreover has a pressure surface formed on its end lying on the inner face of the base element, - wherein the portion, in which the receiving opening continuously tapers, and the axial portion of the first holding pin with the tapering diameter are formed in such a way that, when the first holding pin sits in the receiving opening, it is pivotable, transversely with respect to its longitudinal axis, about a rotation point formed by interaction of the continuously tapering portion of the receiving opening and the axial portion of continuously tapering diameter of the first holding pin, and - wherein at least a first holding pin is designed as a holding pin inserted with play in the receiving opening and having an axial portion in which it has a tapering diameter in the direction of the free end, - wherein the first holding pin moreover has a pressure surface formed on its end lying on the inner face of the base element, - wherein the portion, in which the receiving opening continuously tapers, and the axial portion of the first holding pin with the tapering diameter are formed in such a way that, when the first holding pin sits in the receiving opening, it is pivotable, transversely with respect to its longitudinal axis, about a rotation point formed by interaction of the continuously tapering portion of the receiving opening and the axial portion of continuously tapering diameter of the first holding pin, and d. a pressure element, which is movable in the direction of the inner face of the holding portion and which acts on a portion of the pressure surface that is located to one side of a central axis of the first holding pin and does not cover this central axis.