The invention provides a covered dustbin or covered container. In particular, the invention relates to a lock assembly for dustbins and covered containers. A lower half of the lock is mounted to the inside wall of the dustbin and an underlid half is mounted to the underside of a lid that is hinged to a location adjacent the upper rim of the dustbin. A pair of interlocking engagement members is provided to releasably secure the lid to the dustbin. The lower half and the underlid half each include one interlocking engagement member, such as a hook and a strike. A rocker, when actuated, urges the interlocking engagement members into a disengaged position, for example to disengage the hook from the strike. A user can use a handle provided on the lid to press down the rocker to disengage the lock and lift the lid in a one-hand operation.