GOP Representative Steven Scalise was one of the people shot.
But Mr. Scalise is expected to recover. "While the president would like to attend the game and show his support for all of these courageous public servants, he has been advised that there is not enough time to follow Secret Service protocols", he said.
Sava said that, while Scalise remains in critical condition, his risk of death is substantially lower now than when he came in.
Congressman Scalise remains in critical condition after being shot in his left hip, which caused damage to his internal organs. The Louisiana representative was reportedly admitted containing hundreds of bullet fragments. The others were Capitol Police officers Crystal Griner and David Bailey; Zack Barth, a staffer for Texas Rep. Roger Williams; and Mike Mika, an activist and former congressional staffer.
Sen. Jeff Flake of Arizona, who was at Wednesday's practice and gave medical help after the shooting, said it would have "been awful" if the game had been canceled, and said Scalise would want it to go on.
"We are especially appreciative of the strong outpouring of love and support from our neighbors, friends, from across Louisiana and across the country", Jennifer Scalise's statement said.
Later, President Trump said, "it's much more serious than we thought".
"We are going to public events..."
The FBI said that the shooter's weapons found at the scene - a 9mm handgun and 7.62mm calibre rifle - had been legally purchased. Proceeds go to the Capitol Police Memorial Fund, the Boys and Girls Clubs of Greater Washington, the Washington Literary Center and the Washington Nationals Dream Foundation.
Senate Majority Leader Mitch McConnell, Senate Minority Leader Chuck Schumer, House Speaker Paul Ryan and House Minority Leader Nancy Pelosi stood side by side to shout: "Let's play ball!" and the crowd chanted "U-S-A!"
It seemed most if not all of his fellow congress members were in agreement.
It appears that Scalise, his Republican colleagues and others, who were practicing for a charity baseball game, were targeted by a man - who died from his own wounds - who disagreed with Republicans' positions. There was frustration, said the lawmaker who was not authorized to speak on the record about the private meeting, because some lawmakers including Cedric Richmond, D-La., had expressed fears last week about member safety.