A milking apparatus is described that includes a longitudinally extending liner made from a resiliently deformable material. The liner is mounted on a rigid support shell. The liner comprises an outer hood configured to lie over an outer surface of the rigid support shell, and an inner barrel configured to be disposed within the rigid support shell and to define an internal volume. The inner barrel extends in the longitudinal direction away from an opening at a first end of the liner, through which opening an animal teat is insertable into the internal volume. The inner barrel is connected to the outer hood at a plurality of longitudinally extending connection regions on an inner surface of the outer hood. These connections define boundary conditions that limit the deformation of the barrel that encloses the teat can be set by the configuration of the liner itself.
