Queens District Attorney Richard Brown says Diehl was arraigned on two counts of impaired driving. A judge ordered him to be released on his own recognizance and to return to court on July 26. His license has been suspended.
"I've worked hard during my career to set a positive example, and yesterday I fell far short of this standard," Diehl said in a statement. "I apologize to my family, my fans, the New York Giants, and the NFL. I made a poor decision that I sincerely regret, and, as always, take full responsibility for my actions."
Police say they got calls about a car accident in Queens around 8:45 p.m. Sunday. When they got there, they found a BMW had struck several parked cars along 35th Avenue.
They say Diehl was behind the wheel. They say he was charged after a breath test showed he was above the legal limit.
"Obviously we are aware of the situation, although we have not yet had a chance to discuss it with David," the Giants said in a statement. "Since it is an ongoing legal matter, we will refrain from comment at this time, although we will say that David has been an outstanding representative of this organization for the past 10 years, and nobody knows more than David does what is expected of our players both on and off the field."
Diehl's attorney, Gary Certain, didn't immediately return a call from The Associated Press seeking comment.
"Just obviously concerned about my friend and feel bad for him that he is going through this," quarterback Eli Manning said at a charity appearance in Mount Kisco, N.Y. "I wish nothing had happened but besides that just hoping that everything gets worked out and that he will be OK."
Some other teammates displayed their support for Diehl on Twitter.
"Everyone has made a mistake," punter Steve Weatherford wrote. "Dave Diehl has been a Giant for 10 years, and been role model longer than that. He has my full support."
Diehl's agent, Peter Schaffer, said on Sunday night, "I am honored to represent David Diehl. One of, if not the classiest, most humblest New York Giants ever."
Information from ESPNNewYork.com's Ohm Youngmisuk and The Associated Press contributed to this report.