A gripping arrangement is provided including a storing device (10) adapted to hold a teat cup (1) in a parked position and a gripping device (2) adapted to grip the parked teat cup (1) in the storing device (10). The gripping device (2) includes a contact surface (6a) which is adapted to be moved to a position in which it comes in contact with a contact surface (1d) of the teat cup (1) during a gripping operation of the teat cup (1). The arrangement includes an adjusting part which is able to adjust the position of at least one of the contact surfaces (1d, 6a) in relation to the other contact surface (1d, 6a) from an initial contact position to a grip position in which the gripping device is able to grip the teat cup in the storing device.
