"We respond to valid copyright complaints sent to us by a copyright owner or their authorised representatives," a Twitter spokesman told Reuters.
The three-minute, 45-second video uploaded on Mr Trump's YouTube channel was tweeted by his campaign on Thursday. The clip, which is still on YouTube, had garnered more than 60,000 views and 13,000 likes.
The videostreaming platform's parent Google did not immediately respond to a request for comment.
The US President has repeatedly clashed with the social media platform since it placed a fact check on two of his tweets in which he made unsubstantiated claims of mail-in voting fraud last month.
Twitter said the tweets violated its "civic integrity policy", which bars users from "manipulating or interfering in elections or other civic processes".
Last week, another of Mr Trump's tweets were hidden, this one relating to the America-wide protests that have stemmed from Mr Floyd's death. In the tweet, he said: "When the looting starts, the shooting starts" and threatened to call in the military, which Twitter said was "glorifying violence".
"Twitter is doing nothing about all of the lies & propaganda being put out by China or the Radical Left Democrat Party," Mr Trump tweeted in response to the social media platform's move.
"They have targeted Republicans, Conservatives & the President of the United States. Section 230 should be revoked by Congress. Until then, it will be regulated!"
Mr Trump has pledged to introduce legislation that may scrap or weaken a law that shields social media companies from liability for content posted by their users.
– With wires