An apparatus for positioning an optical element comprising - a positionable part to which the optical element can be mounted; - a base part; - a suspension system (10, 11, 12), said positionable part being mounted on said base part in a movable manner with said suspension system; - an actuation system for actuating movement of said positionable part with respect to said base part, and - a control system for controlling movement of said positionable part, wherein said actuation system comprises at least one actuation element which comprises an electrical conductor (2, 20, 21), preferably an electrically conductive coil, mounted on the positionable part, and one or more magnets (23, 4, 22), preferably permanent magnets, mounted on the base part near said conductor, preferably essentially longitudinally next to said conductor, for actuation of the positionable part by arranging an electrical current to flow through said conductor to allow the Lorentz force acting on the conductor to move the positionable part, wherein said current comprises a low frequency part to control the applied mechanical forces on the positionable part, and said current comprises a high-frequency part that generates a fluctuating magnetic field through the moving conductor; whereby the control system comprising means for controlling the electrical current flowing through an electrical conductor of an actuation element, preferably controlling the electrical current flowing through each of said electrical conductors of said actuation elements, characterized in that said suspension system comprises at least three mechanical suspension elements (10, 11, 12), each suspension element comprising a leaf spring (5, 13, 14), and in that said electrical conductors of said actuation elements are connected to an electrical source via electrical connections which are located on said suspension elements or which are at least partially formed by electrically conducting parts of said suspension elements, and in that said control system comprises a sensing system for measuring the position of the positionable part, said sensing system comprising at least one sensing element comprising a high-frequency electrical signal generator which is arranged to make the high-frequency current component flow through said electrical conductor of said actuation element, wherein said high-frequency current component is generated at a signal frequency which is higher than 10 kHz, and said sensing element comprising an induction-based proximity or distance sensor. - a positionable part to which the optical element can be mounted; - a base part; - a suspension system (10, 11, 12), said positionable part being mounted on said base part in a movable manner with said suspension system; - an actuation system for actuating movement of said positionable part with respect to said base part, and - a control system for controlling movement of said positionable part, wherein said actuation system comprises at least one actuation element which comprises an electrical conductor (2, 20, 21), preferably an electrically conductive coil, mounted on the positionable part, and one or more magnets (23, 4, 22), preferably permanent magnets, mounted on the base part near said conductor, preferably essentially longitudinally next to said conductor, for actuation of the positionable part by arranging an electrical current to flow through said conductor to allow the Lorentz force acting on the conductor to move the positionable part, wherein said current comprises a low frequency part to control the applied mechanical forces on the positionable part, and said current comprises a high-frequency part that generates a fluctuating magnetic field through the moving conductor; whereby the control system comprising means for controlling the electrical current flowing through an electrical conductor of an actuation element, preferably controlling the electrical current flowing through each of said electrical conductors of said actuation elements, characterized in that said suspension system comprises at least three mechanical suspension elements (10, 11, 12), each suspension element comprising a leaf spring (5, 13, 14), and in that said electrical conductors of said actuation elements are connected to an electrical source via electrical connections which are located on said suspension elements or which are at least partially formed by electrically conducting parts of said suspension elements, and in that said control system comprises a sensing system for measuring the position of the positionable part, said sensing system comprising at least one sensing element comprising a high-frequency electrical signal generator which is arranged to make the high-frequency current component flow through said electrical conductor of said actuation element, wherein said high-frequency current component is generated at a signal frequency which is higher than 10 kHz, and said sensing element comprising an induction-based proximity or distance sensor.