The famous band led by Sir Mick Jagger rocked out with tens of thousands of people in the capital Havana - a historic event given that foreign rock music had previously been banned under the Communist government for several decades.
It's the second momentous event to happen in Cuba in a week after the visit of US President Barack Obama - the first president to do so for 88 years.
The Daily Mirror has claimed Pope Francis wanted them to postpone the concert - even if it was only until one minute past midnight on Saturday - because it fell on the day Jesus died.
A tour insider told the paper: "The band's team were flabbergasted when the Vatican got in touch by letter - couldn't believe their eyes.
"Much as they didn't want to upset the Pope, they had a contract to play and were going to honour it.
"They have made a promise to the Cuban people and won't let them down."
