A video of the unarmed 46-year-old Black man’s arrest on Monday showed him gasping for breath while a white police officer knelt on his neck before he died.
In a tweet which tagged the President, Taylor said: “After stoking the fires of white supremacy and racism your entire presidency, you have the nerve to feign moral superiority before threatening violence?”
She added: “We will vote you out in November.”
The singer also quoted a tweet from the President that he said was addressed at the “thugs” who are “dishonouring the memory of George Floyd” with the protests.
Trump added: “Any difficulty and we will assume control but, when the looting starts, the shooting starts.”
Twitter placed a message alongside his tweet, warning that it breached the site’s rules for glorifying violence.
Mr Trump has claimed that he has been unfairly treated by the social media platform, and accused it of targeting him and his supporters.