A teat cup handling device (1) for a robot arm is adapted to attach teat cups to a milking animal. Each teat cup (2) has a centrally located longitudinal axis (2c) extending through a first end surface (2a) of the teat cups provided with a recess for receiving a teat of a milking animal and a oppositely located second end surface (2b) of the teat cups and wherein the teat cup handling device (1) includes at least two holding parts (4) arranged to releasably hold the teat cups (2). Each holding part (4) includes holding elements (9a) adapted to hold the teat cups (2) in positions such that the longitudinal axes (2c) of the teat cups are inclined in relation to each other.