A Capitol Police officer whose vehicle crashed during the chase also was hurt, authorities said. The officer was released from a local hospital Thursday night. The Secret Service did not release information about its injured agent.
Authorities lauded the action of police -- some of whom aren't being paid -- who responded to the incident.
Because of the government shutdown, U.S. Capitol Police aren't receiving a paycheck, although they will receive checks once appropriations are restored.
In Congress, a Capitol Police bulletin said reports of gunshots required "all occupants in all House office buildings to shelter in place."
"Close, lock and stay away from external doors and windows," the bulletin said. Authorities later lifted the lockdown, with police saying they believed the incident was isolated.
President Barack Obama was briefed on the situation, which occurred on the third day of a government shutdown due to a stalemate in Congress over government funding.
"The timing on this was really kind of scary," said Republican Rep. Blake Farenthold of Texas. "Capitol Hill police are at a lower personnel level because of the shutdown."