"I really hate the idea that they're trying to turn this into a police state," Brooks said, adding he would "absolutely not" hand over his records.
The House panel investigating the Capitol riot had asked telecommunications companies to preserve the metadata of Republicans' messages.
The commission is looking for records about misinformation, efforts to overturn the 2020 election, domestic extremism, and foreign influence.
The Jan. 6 committee is also seeking evidence on whether officials discussed the 25th Amendment, under which a president can be removed from office.
Chairman Bennie Thompson said there are "several hundred people that make up the list of individuals we plan to contact" related to the Jan. 6 probe.
Four officers gave damning testimony at a Tuesday congressional hearing about their experience at the Capitol riot.
Michael Fanone, a police officer in Washington, DC, told Congress on Tuesday that Capitol rioters had beaten him unconscious and almost killed him.
The DOJ said officials can offer "unrestricted testimony" to congressional select committees investigating the Capitol riot, The New York Times said.
Marjorie Taylor Greene and Matt Gaetz held a press event while Capitol police officers testified before the House select committee.
Police officer Daniel Hodges said rioters treated him differently than fellow officers of color during the January 6 attack.
The exchange is the latest in a war of words between the Republican leader and the former caucus chair over January 6th and former President Trump.
Pelosi canned two GOP picks for the committee, Reps. Jim Banks and Jim Jordan, who voted against certifying the 2020 election results.
Evidence shows there were signs the rallies would turn violent, and the Capitol Police were unprepared.
The House voted earlier this week to create a bipartisan select committee to investigate the insurrection on the US Capitol.
If any House Republicans join the Jan. 6 select committee to investigate the insurrection, they could lose their assignments, according to reports.
Recently Greene has pushed the unfounded claim that the FBI was somehow involved in the riot.
Rep. Lofgren said the IG report "reveals, again, disturbing inadequacies" in USCP leaders' "preparation for, and response to, the January 6 attack."