The US First Lady asked the British boy band to the presidential home after meeting them backstage at the Nickelodeon Kids' Choice Awards in Los Angeles on Saturday.
First she and daughters Malia, 13, and Sasha, 10, were spotted dancing as the group - Harry Styles, Louis Tomlinson, Liam Payne, Niall Horan and Zayn Malik - performed their single 'What Makes You Beautiful', then she spoke with them backstage.
A source told The Sun newspaper: "She invited them to the White House for their annual Easter egg hunt on Easter Monday. It was such an honour."
Unfortunately the band were unable to accept her invitation -and possibly meet US president Barack Obama - as their schedule means they will be in Australia next time.
The source added: "They'd love to go another time."
Harry, 18, amused Michelle asking how they order pizza to be delivered living at the White House. She replied that they don't, and have to make their own.
When asked what he thought of Michelle, Liam rated her 11 out of 10, saying: "She's a very classy woman, very elegant."
One Direction's debut album, 'Up All Night' entered the US charts at number one last week, and Niall frightened a cab driver in New York with his celebrations when he heard the good news.
He said: "I was just screaming down the phone and frightened the life out of the cab driver!
"I had to explain the situation, because he looked at me like, 'Get out of my cab!' But I was shocked and shaking."