A teatcup liner comprising an upper mouthpiece and a barrel dependingdownwardly from said upper mouthpiece, said barrel extending axially along anaxisfor receiving a teat inserted axially thereinto through said upper mouthpiece,saidbarrel having an upper portion and a lower portion, said upper portion beinground inlateral cross-section taken transversely to said axis, said lower portionbeing triangularin lateral cross-section taken transversely to said axis, with ribs extendinglaterallyfrom corners of the triangular cross-section.