Tenure
In a speech on the House floor at the start of his term, Burlison criticized DirecTV for removing Newsmax TV from its listings, despite Newsmax being caught spreading misinformation about alleged election rigging and widespread voter fraud in the 2020 election, stories consistently proven false. Newsmax later retracted and apologized for spreading this misinformation. Burlison invoked the Holocaust while condemning DirecTV's actions, alluding to, and misquoting, the poem "First they came ..." by Martin Niemoller and suggesting that cable companies were censoring conservatives.
Burlison has said that constituent town halls are "where only political nutjobs show up."
In January 2025, Burlison introduced a bill recognizing personhood as beginning at conception.
Burlison has commented on the investigation of the Jeffrey Epstein client list, saying that Americans are "sick and tired" of secrets and deserve to know the truth. Burlison has not committed to signing a discharge petition or congressional measure to release the files.
Burlison was among the 71 Republicans who voted against final passage of the Fiscal Responsibility Act of 2023 in the House.
On March 19, 2024, Burlison voted NAY to House Resolution 149 Condemning the illegal abduction and forcible transfer of children from Ukraine to the Russian Federation. He was one of nine Republicans to do so.
In 2023, Burlison was among 47 Republicans to vote in favor of H.Con.Res. 21, which directed President Joe Biden to remove U.S. troops from Syria within 180 days.
Burlison voted to provide Israel with support following 2023 Hamas attack on Israel.
Burlison supports cuts and adding work requirements to Medicaid.
Burlison was one of only two representatives (along with Thomas Massie) who voted against the Take It Down Act, which criminalises the publication of non-consensual intimate images and adds protections for victims of deepfake pornography and revenge porn. Burlison has not elaborated on his opposition to the bill.
In 2024, Burlison petitioned House leadership to create a committee to study UAPs. Instead, a task force within the United States House Committee on Oversight and Government Reform — with no subpoena power — was created to investigate UAPs, among other topics; as of 2025, Burlison serves on the body. He has stated that he believes purported UAPs are either angels or manmade objects, and in 2025 introduced UAP-disclosure legislation.
In July 2025, Burlison traveled to Mexico to examine the Nazca mummies, a popular hoax alleged to be the corpses of three-fingered space aliens.
During a September 2025 hearing on UAPs, Burlison presented a 2024 video recorded by the U.S. armed forces that, according to ABC News, showed a "U.S. military Hellfire missile bouncing off a bright, shiny object that was being tracked off the coast of Yemen". In an initial assessment published the next day, Avi Loeb concluded the object was most likely a Samad drone, probably launched by Ansar Allah, a conclusion also reached by The War Zone. Later analysis, according to Interesting Engineering, "determined the object was likely a weather balloon and that the apparent velocity was an optical illusion caused by parallax".