House Majority Whip Steve Scalise, a Republican from Louisianna, remains in critical condition.
The Tyson executive is Matt Mika, director of government relations.
The Republicans were practicing at a ball diamond in Alexandria, just outside Washington.
Also wounded were Zack Barth, a legislative correspondent who works for Representative Roger Williams (R-Texas); and two members of the Capitol Police who protect congressional members.
Police shot the terrorist who has been an outspoken critic of President Donald Trump.