The comics' owner, Randy Lawrence, discovered their disappearance on 9 January and immediately went to the police, the South Florida Sun Sentinel has reported.
The thief did not break into the unit, but entered through the ceiling, with Lawrence noticing a wire hanging from above the storage unit.
Lawrence posted a list of the valuable comics, complete with their names, publication number, and other important details, in the hopes of finding the them if the criminal or criminals who stole them ever tried to sell them on.
"This collection was my nest egg, and I had worked so hard and done without for so long to put this together that it being taken away from me this way has left me in a very bad way," Lawrence said in an appeal on social media. "I…really need you all to be aware and keep your eyes open," he said. "They will probably be offered to some of you sooner than later," he added.
DC Comics began publication of its Batman series in the spring of 1940, with the comics' protagonist going on to become one of the world's most recognisable heroes and icons.