A tracked vehicle comprising a chassis having a centre beam, a suspension device, having a pair of track assemblies where one track assembly is located on each side of a the centre beam, and each track assembly comprises a track support beam, a first wheel that is mounted in bearings in a manner that allows rotation at a forward end of the track support beam, a second wheel that is mounted in bearings in a manner that allows rotation at a rear end of the track support beam, and of which first and second wheels one is a driving wheel, several support wheels and an endless track 11 that in a driving manner runs over the said first and second wheels and support wheels in a plane of rotation A, A, a first suspension mounting with which each support wheel is suspended at the track support beam in a manner that allows pivoting at one end of a support wheel pendulum arm on a hub (25, 29), a second suspension mounting comprising a combination of a first spring strut and a first spring-damping pendulum arm and a combination of a second spring strut and a second spring-damping pendulum arm with which combinations the centre beam of the chassis is spring-damped at a forward and rear end of the track support beam, characterised in that each first and second spring-damping pendulum arm (26A, 26B) comprises a double-armed lever, of which one lever (26:1) and the second lever (26:2) are mutually united at an intermediate web (26:3), that the intermediate web (26:3, 26:3) at each first and second spring-damping pendulum arm (26A, 26B) is mounted in bearings in a manner that allows pivoting at an axis at a first joint (27, 27) in the centre beam of the chassis such that the said first and second spring-damping pendulum arm (26A, 26B) can pivot in planes that are parallel with the plane of rotation (A, A) of the track, that one lever (26:1, 26:1) of each first and second spring-damping pendulum arm (26A, 26B) is mounted in bearings in a manner that allows pivoting at an axis at a second joint (28, 28) in the track support beam, that the second lever (26:2) of each first and second spring-damping pendulum arm (26A, 26B) is united in a manner that transfers power with the centre beam of the chassis through one of the said first and second spring struts (25A, 25B), and that the centre beam that is supported in a spring-damped manner at the track support beam can pivot freely and its attitude can be controlled within a pre-determined specified range of angles (α) through the influence of a motion conversion arrangement arranged at one of the said first and second joints (27, 27; 28, 28) with the ability to convert a rotating motion at the joint to a forward and return translational motion at the joint. a suspension device, having a pair of track assemblies where one track assembly is located on each side of a the centre beam, and each track assembly comprises a track support beam, a first wheel that is mounted in bearings in a manner that allows rotation at a forward end of the track support beam, a second wheel that is mounted in bearings in a manner that allows rotation at a rear end of the track support beam, and of which first and second wheels one is a driving wheel, several support wheels and an endless track 11 that in a driving manner runs over the said first and second wheels and support wheels in a plane of rotation A, A, a first suspension mounting with which each support wheel is suspended at the track support beam in a manner that allows pivoting at one end of a support wheel pendulum arm on a hub (25, 29), a second suspension mounting comprising a combination of a first spring strut and a first spring-damping pendulum arm and a combination of a second spring strut and a second spring-damping pendulum arm with which combinations the centre beam of the chassis is spring-damped at a forward and rear end of the track support beam, characterised in that each first and second spring-damping pendulum arm (26A, 26B) comprises a double-armed lever, of which one lever (26:1) and the second lever (26:2) are mutually united at an intermediate web (26:3), that the intermediate web (26:3, 26:3) at each first and second spring-damping pendulum arm (26A, 26B) is mounted in bearings in a manner that allows pivoting at an axis at a first joint (27, 27) in the centre beam of the chassis such that the said first and second spring-damping pendulum arm (26A, 26B) can pivot in planes that are parallel with the plane of rotation (A, A) of the track, that one lever (26:1, 26:1) of each first and second spring-damping pendulum arm (26A, 26B) is mounted in bearings in a manner that allows pivoting at an axis at a second joint (28, 28) in the track support beam, that the second lever (26:2) of each first and second spring-damping pendulum arm (26A, 26B) is united in a manner that transfers power with the centre beam of the chassis through one of the said first and second spring struts (25A, 25B), and that the centre beam that is supported in a spring-damped manner at the track support beam can pivot freely and its attitude can be controlled within a pre-determined specified range of angles (α) through the influence of a motion conversion arrangement arranged at one of the said first and second joints (27, 27; 28, 28) with the ability to convert a rotating motion at the joint to a forward and return translational motion at the joint.