The new President played the Rolling Stones' You Can't Always Get What You Want at the end of his victory speech in New York City, prompting Mick, lead singer of the band, to respond.
"Just was watching the news... maybe they'll ask me to sing 'You Can't Always Get What You Want' at the inauguration, ha!" wrote the musician.
The Rolling Stones and Donald Trump have been locked in an ongoing legal dispute
However it was too soon to joke for some Twitter followers who were still in shock following Hillary Clinton's defeat.
"Terrible remark. Have some respect for a nation that is suffering and has filled your pockets," wrote one follower. "Too soon or not the night for any humour," tweeted another.
One Twitter user failed to see the joke, posting "You can't be serious" alongside an angry face emoji.
Donald Trump and his wife Melania celebrate the politician's victory
Other fans understood Mick's sense of humour and suggested other songs, including Fool to Cry, Gimme Shelter and Sympathy for the Devil.
"Go Mick you crack me up!" tweeted one fan in support.
The Rolling Stones and Donald Trump have been locked in an ongoing legal dispute over the use of the band's songs at political rallies.
Lawyers for both camps have been sending letters back and forth for months. It all started when Donald walked out to the band's hit Start Me Up at a victory rally in Indiana in May.
At the time the Stones said they had "never given permission to the Trump campaign to use their songs". They requested he "cease all use immediately".
When their request was ignored, the band issued a second statement, clarifying that they do not endorse the politician and their music was used without permission.
Donald's argument was that his rallies are private events and therefore he has the right to play their music.