The White House press briefing room is named after Brady, who was one of four people hurt when Reagan was shot at outside a Washington hotel. He died 73.
"Jim is a legend at the White House for his warmth and professionalism as press secretary for President Reagan; for the strength he brought to bear in recovering from the shooting that nearly killed him 33 years ago; and for turning the events of that terrible afternoon into a remarkable legacy of service through the Brady Campaign to Prevent Gun Violence," Obama said in a statement yesterday.
Vice President, Joe Biden, remembered Brady's contribution against gun violence.
"Because of the Brady's leadership and the gun violence prevention law named in Jim's honour, sensible background checks to date have kept 2 million guns out of the wrong hands," Biden said.
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Brady defined the role of the modern press secretary, said White House Press Secretary, Josh Earnest, in a joint statement along with other former occupant to the post.
"He had a true affection and respect for the press, relished a good sparring with the front row, and was an unfailing defender of the President and the value of a free press. Jim set the model and standard for the rest of us to follow. It's been a genuine honour for each of us to stand at the podium in the briefing room that will always bear his name," the statement said.
"I was proud to sign the Brady Bill into law in 1993, honoured to award Jim the Presidential Medal of Freedom in 1996, and grateful to call this good and courageous man my friend. My thoughts and prayers are with Sarah, Scott, Melissa, and his entire family," he said.