“Company” will be the first musical directed by Ms. Elliott on Broadway, and also her first Broadway venture as lead producer. She and Chris Harper formed a production company, Elliott & Harper, so that she could take more control of her own work.

“I wanted to do something that was fun and creative and could speak to a large audience about being a woman now,” Ms. Elliott said. “By taking ‘Company,’ which is a musical that I’ve always loved, and giving it a female Bobbie rather than a male Bobby, it suddenly becomes very now — she’s single, she’s got a great career, she’s clearly got a lot of friends and a good apartment, but she is going into her late 30s and she hasn’t got a life partner, and all of her friends have an opinion on that.”

Ms. Elliott said that her production also reframes the story so that it is taking place inside Bobbie’s head — she is imagining what her friends will say about her. And she said the Broadway production will not be a replica of the London version — for starters, it will feature an American cast, she said, but also, “there’s no way we’re just going to reproduce what we did in London — hopefully we’ve learned what we can make better, and now we get a chance to do that.”

Ms. Lenk, who won a Tony last year for “The Band’s Visit,” will play Bobbie, succeeding Rosalie Craig, who played the role in London. Ms. LuPone, a legendary Broadway star who won Tonys for “Evita” and “Gypsy,” will play Joanne, a friend with a drinking habit and an amazing song, “The Ladies Who Lunch”; Ms. LuPone also played the role in London, to great acclaim.

The revival will be staged at the Bernard B. Jacobs Theater, with an opening scheduled on March 22, which is the night of Mr. Sondheim’s 90th birthday.