Locks for storage containers having closures such as doors, covers or lids are disclosed. The lock is mounted to she closure and is latched in such a manner as to selectively prevent opening or removal of the closure. The latch of the lock can engage a slot in the storage container, a bracket on the storage container, or a strike on the storage container. Alternatively, the latch can engage a mounting bracket on the door or other portion of the door to selectively block movement of a handle for the door. Further, the latch can have a locking device which can selectively block movement of the latch. Movement of the locking device can be selectively controlled by a magnetic key.