"I was truthful, I was honest, and I'm truly remorseful for what I've done and for what happened," Burress said outside a Manhattan courthouse.
Burress' attorney, Benjamin Brafman, said Burress wanted to address the grand jury.
"I agreed that in order to humanize him, they needed to see who he was and what this man was about," Brafman said.
Burress, 31, shot himself in the thigh at a Manhattan nightclub in November. He was charged with weapon possession and faces up to 3½ years in prison, but he has pleaded not guilty and is free on $100,000 bail.
The New York Post reported earlier this week that Manhattan District Attorney Robert Morgenthau is insisting on jail time for Burress. Morgenthau's office has declined to comment to The Associated Press.
Brafman criticized Morgenthau for speaking out, saying the district attorney's comments could prejudice the grand jury proceedings.
Burress, wearing a pinstriped three-piece suit, thanked his family and his fans Wednesday and didn't take questions.
Brafman said Burress "asked the grand jury for compassion and understanding. I think it took a big man, not just physically, but a big man to come here today and acknowledge his responsibility and ask for the compassion of the people who he testified before.
"We are hopeful that the grand jury found Mr. Burress to be honest and truthful," Brafman added. "They listened carefully, and now we'll just wait and see what happens."
Burress, who caught the winning touchdown pass in the final minute of Super Bowl XLII, also could face disciplinary action from NFL commissioner Roger Goodell under the league's personal-conduct policy. Burress has yet to sign with another team, and Goodell's office announced in June that the league already had started its examination of the shooting.
Copyright 2009 by The Associated Press