Joe Biden, the presumptive Democratic presidential nominee, condemned Trump. In the video and others on social media, some protesters can be seen pausing to film or photograph the couple, while others can be heard to shout, "Keep moving!" and "Let's go!"
"What he did see was tremendous enthusiasm from his many supporters", claimed spokesman Judd Deere.
Trump has also been accused of appearing sympathetic to white supremacists.
The US Secretary of Health and Human Services Alex Azar responded to the video played on CNN's "State of the Union" with Jake Tapper on Sunday.
"He should not have retweeted it", Scott said, "and he should just take it down".
The President deleted the retweet later Sunday morning. "O$3 bviously, the President and I and his whole administration would stand against any acts of white supremacy". Hold in brain, the "white power" chant is listened to rather early in the video clip, about 8 seconds in.
This comes as the President prepares for the run-in for Presidential election this year.
Opinion polls show Trump trailing his likely Democratic rival in the November 3 election, former Vice President Joe Biden, and an increasing number of Americans sympathizing with protesters and support policing reforms.
In late May, as some of the protests turned violent, Trump tweeted that "when the looting starts, the shooting starts" - a phrase used by a White Miami police chief to threaten civil rights protesters in the 1960s.
Sherrilyn Ifill, president and director-counsel of the NAACP Legal Defence and Education Fund, told CBS" "Face the Nation' that "this really is not about the president taking it down". But make no mistake: it's a battle we will win, ' Biden said.
Trump also blasted Princeton University's weekend announcement that it was removing former U.S. President Woodrow Wilson's name from its schools over his racist remarks and policies.