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After marrying his wife, Bill Gates would spend a long weekend every year at a cozy beach cottage in North Carolina — with his old girlfriend.

The billionaire Microsoft founder made sure the bizarre arrangement was part of the deal when he married Melinda French in 1994, he told Time magazine in a 1997 profile.

“We can play putt-putt while discussing biotechnology,” Gates said of his private getaways with fellow nerd techie and ex Ann Winblad — who is now happily married to actor Kevin Kline’s detective brother, Alex Kline, a source told The Post on Tuesday.

Gates even sought Winblad’s approval before proposing to his wife.

“When I was off on my own thinking about marrying Melinda, I called Ann and asked for her approval,” he said, adding that Winblad gave the other woman the thumb’s up.