Two people -- a federal employee and a civilian -- suffered minor injuries.
U.S. Immigration and Customs Enforcement has been ordered to temporarily stop conducting vehicle stops.
Sen. Angus King, I-Maine, told ABC News the man who was shot was not the target of the operation.
Minnesota prosecutors have obtained key evidence in their investigations into the fatal shootings of Renee Good and Alex Pretti.
The Trump administration plans to open a 528-bed holding facility for migrant families and unaccompanied children next to an airport hub, positioning itself to speed up deportations.
The shooting has outraged Houston leaders and renewed public scrutiny over ICE and President Trump's immigration crackdown.