A closure (1) for sealingly closing a container neck (11) having a tubular body (2) with a top wall (4), an annular side wall (5), an intermediate wall (6) joining the side wall (5) to the top wall (4) and an annular tamper evidence band (3) frangibly connected to an open end (21) described by the side wall (5). The band (3) includes retaining cams (31) protruding from its inner surface (30). Each cam (31) has a lead-in ramp (32) for engaging, in use, the flange (12) of a container neck (11) as the neck (11) is introduced into the open end (21) of the body (2) and a stop (33) for engaging the flange (12) to separate the band (3) from the body (2) when the closure (1) is subsequently removed from the neck (11). Each lead-in ramp (32) has a central recess (34) therein.