David King, wants the 28-year-old Prince to appear on stage to introduce the raunchy show called 'Shades of Temptation', The Sun reported.
The steamy late night production features scantily clad dancers.
In return for appearing in the show, King has promised to pay 100,000 pounds to a charity of Harry's choice.
King, who gave away more than 50,000 pounds on Channel 4's Secret Millionaire this year, said: "Prince Harry proved he was the ultimate playboy this summer and I thought, 'Who else would be better for a lead role?'"
"Cheekily I wrote off to the Palace to invite him on stage. This a serious offer," King said.
The steamy new show opened last week at his Boulevard Theatre in MGM's New York-New York hotel on the Las Vegas strip.
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King's previous hit shows include 'Spirit of the Dance', which has sold 30 million tickets in 15 years and Michael Jackson tribute Man in the Mirror.
In August, Prince Harry landed in hot water when his naked pictures emerged on American showbiz site TMZ and swiftly spread across the world.
He had been playing strip billiards in his exclusive suite at the MGM Hotel with a group of people.