A lithographic apparatus includes an illumination system configured to condition a radiation beam, a support constructed to support a patterning device, the patterning device being capable of imparting the radiation beam with a pattern in its cross-section to form a patterned radiation beam, a substrate table constructed to hold a substrate, a projection system configured to project the patterned radiation beam onto a target portion of the substrate, a chuck configured to hold and position an object, for example, the patterning device onto the support or the substrate onto the substrate table, the chuck including a base and a constraining layer. A damping layer including a viscoelastic material is provided between the base and the constraining layer.