Producers of the hit animated show want William to feature as LISA's new love interest, while party-loving Harry has been cast as a wacky tearaway pal for BART.
The Simpsons' executive producer, Al Jean, says, "We've thought about approaching Harry and William because we believe they are fans of the show.
"It would be funny to make one of them Lisa's boyfriend.
"I know they're image conscious, but I don't see what harm it'll do."
Jean has also hinted at wanting the princes' grandmother, Queen Elizabeth II, to star in her own episode.
He adds, "I'd love to get the Queen on the show. That would be something."
If the royal duo accept the part, they will follow in the footsteps of other British stars who have enjoyed cameo appearances on The Simpsons, including SIR Elton John, Sir Paul McCartney and Prime Minister Tony Blair.