A pneumatically damping mount, in particular an engine mount for motor vehicles, includes a bearing spring of elastomeric material for supporting a mount core and delimiting a working chamber. The working chamber is filled with a gas, in particular air, and communicates with the ambient atmosphere through a nozzle opening. A progression element of elastomeric material is disposed opposite the bearing spring and delimits the working chamber together with the bearing spring, to enable further deformation of the mount after closing of the working chamber.