Paul Simon and his wife, Edie Brickell, were arrested in Connecticut for alleged disorderly conduct after officers responded to their home for an argument that led to "a push," according to police and their attorney.

Police in New Canaan went to their home Saturday at about 8:20 p.m. after someone hung up following a 911 call, and "found probable cause" to arrest the Grammy-award-winning singers, officials said. They were released on a promise to appear in court Monday.

Simon, 72, and Brickell, 47, walked into Norwalk Superior Court Monday smiling and holding hands, and did not address reporters. The couple married in 1992 and have three children, 16, 19 and 22.

The judge said the government was recommending a limited protective order, but an attorney for Simon and Brickell said in court that they did not want one.

"Both of us are fine together," Simon told the judge. "We're going to go back home today, we're going to go watch our son play baseball."

"We had an argument," he went on, "and it's atypical of us, and neither one of us has any fear or any reason to feel threatened, and I don't feel like I need to be protected."

Simon is "no threat to me at all," Brickell added.

The judge said he did not see a continued threat of violence and did not issue the order.

The couple's attorney, Allan Cramer, told reporters that the argument took place at a cottage on their property, and led to "a push." He did not say who pushed whom.

Police said after finding probable cause, officers were obligated to make an arrest under state domestic violence statutes.

Brickell is widely known for 1988's "Shooting Rubberbands at the Stars," the debut album by Edie Brickell & New Bohemians, which went to No. 4 on the Billboard 200 chart and featured the hit song "What I Am."

One of the most well-known musicians of his generation, Simon has won 12 Grammys. "Bridge Over Troubled Water," "Still Crazy After All These Years" and "Graceland" all won "Album of the Year."

In 2003 he was given a Grammy Lifetime Achievement Award for his work as half of the duo Simon and Garfunkel. He is a member of The Songwriters Hall of Fame, and is in the Rock n' Roll Hall of Fame as a member of Simon and Garfunkel and as a solo artist.

--Marc Santia contributed to this story