"The Rolling Stones have never given permission to the Trump campaign to use their songs and have requested that they cease all use immediately," the rockers said in a statement.
Trump has used hits including "You Can't Always Get What You Want" and "Start Me Up" to fire up his supporters at campaign events.
The Stones join a growing number of musicians who have expressed anger at Trump's use of their music at rallies, which have repeatedly been marred by violence.
Everlast latest artist to tell Trump to stop using song
Everlast last month demanded he stop playing "Jump Around" by the rapper's former band House of Pain, while Neil Young, R.E.M. and Adele have also spoken out.
Stop using my music, Adele tells Donald Trump
Trump has an uncontested path to the Republican presidential nomination after his victory in Indiana's primary on Thursday pushed remaining challengers Ted Cruz and then Ohio Governor John Kasich out of the race.
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