A suspension system for a tracked vehicle that includes at least four suspension cylinders for suspending at least two track module frames to a chassis of the tracked vehicle to allow torsional flexing to accommodate terrain unevenness with significantly less terrain damage to provide a smoother, safer ride, with bump absorption and improved stability. The suspension cylinders can be hydraulic cylinders, pneumatic cylinders for air bags, powered jackscrews or manual jackscrews. The suspension system also includes lateral links for attaching the at least two track frame module to the chassis to allow the track module frame to move vertically, to tilt and to angle for resiliently tracking uneven surfaces. Longitudinal links for attaching each of the at least two track frame module to the chassis to keep the at least two track module frames centered within the chassis of the tracked vehicle.