A tool magazine for a machine tool, comprising: a tool holder fastening means, a plurality of tool holders fastened to said tool holder fastening means for receiving and locking a respective tool taper on a tool magazine, an unlocking device for unlocking a tool taper that is received and locked in said tool holder at an unlocking position of said tool magazine, and a displacing device for displacing said tool holder fastened to said tool holder fastening means, wherein said displacing device is adapted to displace a first tool holder that is fastened to said tool holder fastening means in a first direction perpendicular to the axial direction of said first tool holder into said unlocking position; wherein said first tool holder comprises: - a receiving means for receiving a tool taper in the axial direction of said first tool holder on a first side of said first tool holder; - a locking means (10, 11, 12, 16) for locking said tool taper received in said receiving means; and - a first fastening means for fastening said first tool holder to said tool magazine, wherein said locking means (10, 11, 12, 16) comprises a first tightening element that is adapted to be moved from a first position in the axial direction into a second position, a tool taper received in said receiving means being locked when said first tightening element is in the first position, and said tool taper received in said receiving means being unlocked when said first tightening element is in the second position, and wherein said first tightening element has a first tightening portion that projects on a second side opposing the first side of said first tool holder from said first tool holder in the axial direction; and wherein said unlocking device comprises: - a second fastening means (21, 22) for fastening said unlocking device to said tool magazine at an unlocking position of said tool magazine; and an unlocking means (18, 19) for unlocking said tool taper that is received and locked in said first tool holder when said first tool holder is at the unlocking position, wherein said unlocking means (18, 19) comprises a second tightening element that is movable in the axial direction of said unlocking device and has a second tightening portion that can be brought into an engagement state with said first tightening portion of said first tightening element, in which said second tightening portion is in positive non-detachable engagement in the axial direction with said first tightening portion of said first tightening element when said tool holder is at the unlocking position, and wherein said unlocking means (18, 19) is adapted to unlock said tool taper received in said receiving means when said first tightening portion and said second tightening portion are in the engagement state, in that said second tightening element is axially controlled and, via the axial positive connection, moves said first tightening element from said first axial position into said second axial position; and wherein said first tightening portion is configured such that it can be brought into the engagement state with said second tightening portion by a relative movement with respect to said second tightening portion in a first direction perpendicular to the axial direction, when said displacing device displaces said first tool holder in the first direction perpendicular to the axial direction of said first tool holder into the unlocking position. a tool holder fastening means, a plurality of tool holders fastened to said tool holder fastening means for receiving and locking a respective tool taper on a tool magazine, an unlocking device for unlocking a tool taper that is received and locked in said tool holder at an unlocking position of said tool magazine, and a displacing device for displacing said tool holder fastened to said tool holder fastening means, - a receiving means for receiving a tool taper in the axial direction of said first tool holder on a first side of said first tool holder; - a locking means (10, 11, 12, 16) for locking said tool taper received in said receiving means; and - a first fastening means for fastening said first tool holder to said tool magazine, - a second fastening means (21, 22) for fastening said unlocking device to said tool magazine at an unlocking position of said tool magazine; and