Leavitt quickly responded "no" when asked at a White House press briefing on Thursday afternoon whether Trump wants to "execute" members of Congress, saying the media should instead focus on the lawmakers' own comments.
"They are literally saying to 1.3 million active duty service members to defy the chain of command, not to follow lawful orders," Leavitt said at Thursday's press briefing.
"It perhaps is punishable by law," she added later.
Leadership in the US House of Representatives have said they are working with Capitol Police to adequately protect the lawmakers - and their families - who are at the centre of Trumps' posts.
Democratic House Minority Leader Hakeem Jeffries slammed Trump's remarks, saying the president must "recant his violent rhetoric before he gets someone killed".
Republican House Speaker Mike Johnson, however, defended the president, saying Trump was simply "defining the crime of sedition" calling the Democrats' video "wildly inappropriate" and "very dangerous".
The Department of Justice and Pentagon will be reviewing the matter, he said.
Trump's remarks come amid heightened concern about politically motivated attacks in the US.
An October Pew Research Center study found 85% of Americans believe such violence is increasing, a trend echoed in a November Politico and Public First poll.
Trump, himself, was targeted in two alleged assassination attempts - one at a political rally during his presidential campaign last year that left one person dead. Trump and several others in attendance were injured.
Just this year there have been a number of high-profile incidents, including the assassination of conservative commentator Charlie Kirk, an arson attack on Democratic Pennsylvania Governor Josh Shapiro's home, and the killing of a Democratic Minnesota lawmaker and her husband.
In the wake of Kirk's murder, many conservatives including Trump spoke out against Democrats and said they were responsible for the growing political violence in the US.
Republican Congresswoman Marjorie Taylor Greene recently spoke out about the increased number of threats she's received since breaking with Trump on some policies. Their feud boiled over last week when Trump posted several times about her, calling her "wacky" and a "traitor". Her son also received a death threat, according to local police.
More public officials are reporting swatting - making prank calls to emergency services to deploy a Special Weapons and Tactics team (Swat) - attempts in recent months.
That includes an Indiana Republican who was the focus of a separate Truth Social attack from the president, over his stance on redistricting in the state.