The invention discloses a damping support base for a rail. The damping support base comprises a base, a rail support base, a damping spring supported between the base and the rail support base and a
damper which is arranged in the base for applying damping effect on vibration of the rail support base, wherein the
damper comprises an outer cylinder
barrel, an inner cylinder
barrel coaxially arranged in the outer cylinder
barrel, a
piston body which is in sliding fit to the inner cylinder barrel and a
piston rod which is connected between the
piston body and the rail support base, wherein the piston body comprises a barrel-shaped housing which is provided with a lower opening and is made of a permeability magnetic material, a central column which is coaxially and integrally formed in a barrel-shaped outer housing, a
magnet exciting coil which is wound on the central column and a bottom cover for sealing the bottom of the barrel-shaped housing; oil flows through the
piston rod through a transverse oil pass hole; and the inner wall of the transverse oil pass hole is fixedly provided with a throttling body made of a magnetostrictive material. Damping strength of the
damper in the damping support base can be actively regulated according to needs, so that damping needs of the rail are met.