A lid (10) for a container (40) has a body (14) and a peripheral channel (12) to engage with a lip (42) of the container. Inward projections (22) are formed on the outer wall (16) of the channel (12), and engage beneath the lip (42) of the container. The outer wall (16) of the channel (12) can be detached from the body (14) of the lid (10) to allow the lid to be removed. The lid has a lift tab (30) which is connected to the body (14) of the lid and forms part of said outer wall (16). To open the container, the user grasps the lift tab (30) and pulls the lid away from the container, this removal also serving to detach the outer wall (16) from the body (14) of the lid. Alternatively, the outer wall (16) can remain attached to the body (14) of the lid at a part thereof.