"Obviously neither the president, his administration nor I would do anything to be supportive of white supremacy or anything that would support discrimination of any kind", Azar said when asked about Trump's tweet.
The controversial footage was shared by a user nicknamed "Fifty Shades of Whey" and follows a standoff between Trump supporters and anti-Trump protesters at The Villages community in Florida.
Scott is the only black Republican in the Senate.
'Would I condone somebody within our organization to talk about white power? "There's no question, we could play politics with it or we can't, I'm not going to".
"He should just take it down", Scott said, adding that he thinks the video is "indefensible". The video also shows anti-Trump protesters shouting "Nazi", "racist", and profanities at the Trump backers.
Trump deleted the tweet more than three hours after posting it.
"He did not hear the one statement made on the video", spokesperson Judd Deere said in a statement.
"The president did not hear that phrase in that portion of the video, and when it was signaled to him that this was in there he took that tweet down", McEnany told "Fox & Friends".
Some of the counterdemonstrators in the Florida video hold signs supporting former vice president Joe Biden, the presumed Democratic nominee challenging Trump in November.
Pelosi: Trump Is ‘Kissing Up to Putin on Every Way’
Denies being briefed, whether he is or not, his administration knows. "We need to get to the bottom of it and we need to do it now".
Liberal critics meanwhile used the video to back up accusations that the president is racist.
In some cities, protesters have pulled down or vandalized statues and memorials of historical figures - such as Confederate leaders - who defended slavery. Trump has opposed these efforts.
Trump has also been accused of appearing sympathetic to white supremacists.
Under the tweets, there is now a link reading "Get the facts about mail-in ballots" that guides users to a Twitter "moments" page with fact checks and news stories about Trump's unsubstantiated claims.
But his reference to "the great people of The Villages" was an eerie echo of his comments in the summer of 2017, when he responded to deadly violence by white supremacists in Charlottesville, Va., by saying there were "very fine people on both sides".
McEnany went on to argue that Trump retweeted the video to show solidarity to his supporters who are "oftentimes demonized".
Protesters lined the street, many of them screaming epithets, accusing the Trump supporters of being racists and holding signs calling the president a bigot.
Sherrilyn Ifill, president and director-counsel of the NAACP Legal Defense and Education Fund told CBS' "Face the Nation" that "This really is not about the president taking it down".