Pneumatic tandem axle suspension for a pair of rear axles (12,14) of a vehicle, in particular a heavy goods vehicle, said pair of rear axles comprising a front axle and a rear axle arranged behind each other with respect to the driving direction of the vehicle, wherein the pneumatic tandem axle suspension comprises a front suspension portion and a rear suspension portion for suspending the front axle and the rear axle, respectively, each of the front and rear suspension portions (16,18) comprising: - a pair of spring beams (20,22) for supporting the axle (12,14), each of the spring beams (20,22) being arranged beneath a vehicle frame and extending perpendicular to the axle (12,14), - two pairs of air bellows (26,28; 30,32), with each one pair being arranged at one side of the vehicle frame and comprising a front bellow (26,30) and a rear bellow (28,32) arranged in front of and behind the axle, respectively, to support the respective front or rear end of the spring beams at this side of the vehicle against the bottom of the frame, - a pair of hydraulic shock absorbers (42,44; 46,48), each shock absorber being arranged to support one of the spring beams (20,22) with respect to the frame, - and a triangular rod (50,52) being pivotable linked to an upper center portion of the axle (12,14) and the frame, respectively, wherein the pneumatic tandem axle suspension further comprises a pair of front hangers (70,72), each front hanger (70,72) extending downward from the frame at a position between the front axle and the rear axle, and each of the front and rear suspension portions (16,18) comprises a pair of longitudinal rods (74,76), each longitudinal rod (74,76) extending between one of the front hangers (70,72) at the respective side of the vehicle and one spring beam (20,22) of the respective suspension portion (16,18) and being hinged with its ends to the hanger (70,72) and the spring beam (20,22), respectively, characterized in that each of the front and rear suspension portions (16,18) comprises a stabilizer bar (78,80) which is generally U-shaped and disposed above the axle (12,14), with a traverse beam (82,84) and two legs (86,88; 90,92) extending from the ends of the traverse beam (82,84) in a direction perpendicular to the axle (12,14), wherein the traverse beam (82,84) is rotatable supported within a pair of pivot bearings (94,96), with each of the pivot bearings (94,96) being mounted between the bottom of the frame and one of the air bellows (26,28; 30,32) such that the legs (86,88; 90,92) can perform a swiveling movement, and the ends (100,102) of the legs (86,88; 90,92) being pivotable linked to the axle (12,14) suspended by the respective suspension portion via generally perpendicular thrust rods (104,106) and axle brackets (108,110) mounted on top of the axle, with each thrust rod (104,106) being pivotable hinged to one leg end (100,102) and to one axle bracket (108,110), respectively. - a pair of spring beams (20,22) for supporting the axle (12,14), each of the spring beams (20,22) being arranged beneath a vehicle frame and extending perpendicular to the axle (12,14), - two pairs of air bellows (26,28; 30,32), with each one pair being arranged at one side of the vehicle frame and comprising a front bellow (26,30) and a rear bellow (28,32) arranged in front of and behind the axle, respectively, to support the respective front or rear end of the spring beams at this side of the vehicle against the bottom of the frame, - a pair of hydraulic shock absorbers (42,44; 46,48), each shock absorber being arranged to support one of the spring beams (20,22) with respect to the frame, - and a triangular rod (50,52) being pivotable linked to an upper center portion of the axle (12,14) and the frame, respectively,