The Penguin appears to have gone straight. (Evidently the citizens of Gotham City have short memories; he tried the same trick in season one.) Not only that, he has emerged as the leading contender for mayor of Gotham City, thanks to a little-known provision of the city charter that permits felons to run for elective office. Mayor Linseed, facing almost certain defeat, convinces Batman to run for mayor. This displeases the Penguin, who doesn't want to leave anything to chance. He lures Batman and Robin into a trap and, by episode's end, things don't look good for the Dynamic Duo.
Wealthy entrepreneur Bruce Wayne and his ward Dick Grayson lead a double life: they are actually crime fighting duo Batman and Robin.
A secret Batpole in the Wayne mansion leads to the Batcave, where Police Commissioner Gordon often calls with the latest emergency threatening Gotham City. Racing the the scene of the crime in the Batmobile, Batman and Robin must (with the help of their trusty Bat-utility-belt) thwart the efforts of a variety of master criminals, including The Riddler, The Joker, Catwoman, and The Penguin.