Scalise and others were practicing for an annual congressional baseball game.
Five people, including the suspect, were transported to a local hospital.
President Donald Trump said he's "deeply saddened" by the news.
A gunman opened fire on a group of Republican lawmakers practicing for a congressional baseball game at around 7 a.m. Wednesday in Alexandria, Virginia, hitting several people.
House Majority Whip Steve Scalise (R-La.), who was there braving the heat with others to practice for the annual event, was shot in the hip, his office said in a statement. He is undergoing surgery at the nearby Medstar Washington Hospital Center and is in stable condition.
Scalise was "in good spirits and spoke to his wife by phone" ahead of the surgery, his office said.
Five people, including the suspect, were transported to a local hospital, Alexandria Police Chief Michael Brown said during a press conference Wednesday. The FBI is taking over the investigation into the shooting.
Zachary Barth, a staffer for Rep. Roger Williams (R-Texas), said on Facebook that he was shot but is "okay," Yahoo's Jon Ward reported. Williams also said in a statement that one of his staffers was shot.
Two victims are being treated at George Washington University Hospital, hospital spokeswoman Susan Griffiths told HuffPost. Both are in critical condition.
Sen. Rand Paul (R-Ky.), who was also at the practice, told MSNBC that Scalise crawled through the dirt, bleeding, to get away from the shooter. Rep. Mo Brooks (R-Ala.) told reporters that he used his belt as a tourniquet to stop Scalise's bleeding at the baseball field.
Paul said that a number of aides were lying down during the attack as the shooter fired bullets their way.
Capitol Police officers at the event responded and engaged the suspect in gunfire, U.S. Capitol Police Chief Matthew R. Verderosa said. Alexandria Police responded soon after. "At that point, we were able to calm the situation and victims were transported to the hospital," Verderosa said.
Paul told CNN that "nobody would've survived" had Capitol Police not been there.
"It would've been a massacre without them," he said.
Noah Nathan, 47, lives in a nearby apartment building and was at the dog park when the shooting took place. He said he heard at least 30 shots and laid down on the ground, but couldn't see the shooter. "There's no place I could go," he said.
The members were practicing for the Congressional Baseball Game, a Washington, D.C., tradition dating back to 1909. The event pits Republicans against Democrats for a charity event that raises funds for area nonprofits, including the Washington Literacy Center, the Boys and Girls Club of Greater Washington and the Washington Nationals Dream Foundation. This year's game is scheduled for Thursday night.
The practice was taking place at a baseball field in Alexandria, Virginia, a suburb just over the river from Washington.
Police shut down the streets for blocks around the field early Wednesday, and a helicopter was flying overhead.
Lawmakers from both parties expressed sympathy for the victims. President Donald Trump said that he was "deeply saddened" by the news.
"Our thoughts and prayers are with the members of Congress, their staffs, Capitol Police, first responders, and all others affected," he said in a statement.
Many previously scheduled events around Capitol Hill were canceled Tuesday, including an event Trump was scheduled to attend at the Department of Labor.
Jay Roberts, 60, lives nearby and same the game was "probably one of the few moments with all this rancor and politics that they can have some normalcy."
"I imagined it would be something fun to watch, you know, because evidently it's partisan politics are put aside, let's have a softball game, let's have some fun," he said.
This is a developing story. Check back for updates.