The invention relates to an arrangement for gripping at least one teat cup (1). The arrangement comprises a storing device (10) adapted to hold the 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) comprises a contact surface (6a) which is adapted to be moved to a position in which it comes in contact with a contact surface (1 d) of the teat cup (1) during a gripping operation of the teat cup (1). The arrangement comprises adjusting means which is able to adjust the position of the contact surface (6a) of the gripping device in relation to the contact surface (1d) of the teat cup (1) 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.
