A fictional institution in the bizarre parallel universe inhabited by the Goons of The Goon Show fame. Situated in London, the Ministry deals with monkeys on the knee, and will provide information on the same should you send them two rust-proof shillings.

Presumably, the research boffins at the Ministry were the ones who determined that monkeys on the knee can be cured by saying "Thing".

Basically an excuse for another bit of nonsensical malarky to spice up the BBC listening schedule.