The annual Congressional Baseball Game is a charitable event held every year, pitting Republicans and Democrats against each other.
He adds, "Our thoughts and prayers are with him".
Scalise, a Republican from Louisiana, is in surgery and in stable condition at MedStar Washington Hospital Center, his office said. He is receiving medical attention.
She said the officer had got out of a parked vehicle, drawn a handgun and shouted something to the gunman, who then fired.
Virginia Rep. Dave Brat told CNN that he learned of the news in the gym, and that members were all standing by for more information as the news unfolded.
A statement issued by President Donald Trump said the situation was being monitored.
Sen. Jeff Flake of Arizona said he believes the shooter was shot.
He said the congressman dragged himself 10 to 15 yards into the outfield to get further away from the gunman.
Brooks said he took off his belt and he and another congressman applied a tourniquet to try to slow down the bleeding.
Mr Brooks said that Mr Scalise, 51, was down on the ground with what Mr Brooks described as "a hip wound".
President Donald Trump said during a national news conference that the shooter who opened fired on Republican Congressional lawmakers and staff as they practiced baseball died from his injuries.
Scalise was fielding balls on second base when he was shot, Flake said.
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The shooting took place at a baseball field at Eugene Simpson Stadium Park, across the street from Alexandria's YMCA, according to accounts from witnesses and police. They shot the shooter.
Barton described the shooter as a "middle aged man". Blue jeans and a blue shirt. Another Alabama representative, Gary Palmer, R-Hoover, was also still at the scene, Brooks said.
Shots were fired on a group of Republican lawmakers in Alexandria, Virginia on Wednesday morning.
Federal Bureau of Investigation special agent in charge Tim Slater said it was "too early to say" whether it was an act of terrorism, or whether Scalise was targeted.
Rep. Glenn Grothman (R-WI) told Wisconsin's WTMJ that he believed the shooting "could have been much worse" if Scalise had not been there, due to the security detail that protects him.
Sen. Rand Paul, R-KY, said on Twitter that he was there and "shaken but unharmed".
Asked whether he thought it was a random shooting, Brooks told CNN: "It sure as heck wasn't an accident".
"All of a sudden we heard a very loud shot".
U. S. House Majority Whip Steve Scalise and aides were at a baseball practice, when the gunfire began. "I just didn't want her to wake up and hear the news and not know what was going on".
A law enforcement official said the shooting is being investigated as a criminal act rather than an act of terrorism. "Thank you to the Capitol Police officers who demonstrated incredible courage, and by their quick action saved lives".
U.S. Rep. Mike Gallagher, R-Green Bay, tweeted that "my prayers are with my colleague @SteveScalise and anyone else affected this morning".
In the wake of the shooting, the House of Representatives canceled legislative business for the day, and security was increased around the White House.
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