Implant for stabilising spinous processes (12, 14) of adjacent vertebral bodies (13, 15) relative to one another, comprising: - a first contact element and a second contact element, wherein to stabilise the spinous processes (12, 14), the first contact element can be placed laterally onto a first side of the spinous processes (12, 14) and the second contact element can be placed laterally onto a second side of the spinous processes (12, 14), which is remote from the first side; and - at least one clamping element (28, 29), coupling to the first contact element, and movable relative to the second contact element, the clamping element extending through the intervertebral space between the spinous processes (12, 14) and extending through the second contact element; - at least one fixing element, which is arranged on the second contact element and which can be brought into engagement with the at least one clamping element (28, 29) to clamp the second contact element in the direction of the first contact element along the at least one clamping element (28, 29); - an articulation device, by means of which the first contact element and/or the second contact element is arranged so as to be movable by tilting on the at least one clamping element (28, 29); wherein: - the first contact element is movable relative to the at least one clamping element (28, 29) in the longitudinal direction thereof; - the at least one clamping element (28, 29) comprises at least one support member for support directly or indirectly on the first contact element against a movement in the direction of the second contact element; - the articulation device comprises at least one articulation element (40, 92) through which the at least one clamping element (28, 29) extends, said articulation element having an articulation face (38, 93), which cooperates with a corresponding articulation face of the first contact element facing away from the second contact element or a corresponding articulation face (39, 93) of the second contact element facing away from the first contact element; and - the at least one articulation element (40, 92) comprises or forms an articulation sleeve, the at least one clamping element (28, 29) being displaceably guided in its longitudinal direction by the articulation sleeve. - a first contact element and a second contact element, wherein to stabilise the spinous processes (12, 14), the first contact element can be placed laterally onto a first side of the spinous processes (12, 14) and the second contact element can be placed laterally onto a second side of the spinous processes (12, 14), which is remote from the first side; and - at least one clamping element (28, 29), coupling to the first contact element, and movable relative to the second contact element, the clamping element extending through the intervertebral space between the spinous processes (12, 14) and extending through the second contact element; - at least one fixing element, which is arranged on the second contact element and which can be brought into engagement with the at least one clamping element (28, 29) to clamp the second contact element in the direction of the first contact element along the at least one clamping element (28, 29); - an articulation device, by means of which the first contact element and/or the second contact element is arranged so as to be movable by tilting on the at least one clamping element (28, 29); - the first contact element is movable relative to the at least one clamping element (28, 29) in the longitudinal direction thereof; - the at least one clamping element (28, 29) comprises at least one support member for support directly or indirectly on the first contact element against a movement in the direction of the second contact element; - the articulation device comprises at least one articulation element (40, 92) through which the at least one clamping element (28, 29) extends, said articulation element having an articulation face (38, 93), which cooperates with a corresponding articulation face of the first contact element facing away from the second contact element or a corresponding articulation face (39, 93) of the second contact element facing away from the first contact element; and - the at least one articulation element (40, 92) comprises or forms an articulation sleeve, the at least one clamping element (28, 29) being displaceably guided in its longitudinal direction by the articulation sleeve.