A sawtooth interface constraint damping track bed applied to vibration and noise reduction of a subway comprises a concrete base layer, a constraint layer and a middle layer located between the layers, wherein the concrete base layer, the constraint layer and the middle layer are shaped like sawteeth, and sawteeth of the two adjacent layers are matched; the middle layer is a multi-layer constraint damping layer, and the middle layer is composed of a damping material layer I, a hard interlayer and a damping material layer II which are successively arranged; the damping material layer I is located on the side close to the concrete base layer, and the damping material layer II is located on the side close to the constraint layer; and the damping material layer is made of a polyurethane-urea damping material. According to the invention, a track bed constraint interface is designed into a sawtooth shape. Hence, on one side, hidden dangers in relative slippage of the track bed are avoided; and on the other side, the specific area of the structure is increased, namely the shear area is increased, so that non-linear characteristics of the damping material could be manifested better. Shear energy consumption of the damping material is applied, and the loss factor increases by 0.3-0.5, so that vibration reduction effects are also improved obviously.