It was the Stones' first gig in Hyde Park since that historic free concert on July 5 1969 - just two days after the death of founder member Brian Jones, who was found dead in the swimming pool at his Sussex home shortly after leaving the band.
That show marked the live debut of his replacement guitarist, Mick Taylor, who was later replaced by Ronnie Wood.
Sir Mick had hinted during the week that yesterday's concert would feature many of the songs from the band's 1969 set list.
Tens of thousands of people were in the crowd, including stars such as David Walliams and wife Lara Stone, Gemma Arterton, Ben Whishaw, Chris O'Dowd, Noel Fielding, Simon Fuller and Bobby Gillespie of Primal Scream, who were all in the VIP area.
The Stones' set finished, as it began, with fireworks.
The veteran band had played for two hours, closing their initial set with Brown Sugar, then encoring with You Can't Always Get What You Want and a crowd-pleasing Satisfaction.
The Stones were topping the bill on the second day of a new festival, Barclaycard Presents British Summer Time.
The Rolling Stones will not decide the final setlist for their Hyde Park return tonight until just before the show -as they are still trying to agree on the songs, Keith Richards has revealed.
In an interview for Absolute Radio, guitarist Richards said : "We are still differing about certain songs and stuff, and also we have to think that we have another one coming up....and what we want to do next week.
"So, there is still a bit of juggling going on. But, I mean those things can be decided on the night."
Tens of thousands of fans stream into the outdoor venue this afternoon in anticipation of the band's headline performance, 44 years after they last played.
Tonight's show - part of the Barclaycard presents British Summertime - is the band's first appearance at Hyde Park since they played a celebrated free festival there in 1969.
It was the band's first appearance since the death of former guitarist Brian Jones, and featured the first performance by his replacement Mick Taylor - who will also take a guest role tonight.
London singer Eliza Doolittle is playing Hyde Park NEXT weekend alongside Lionel Richie and Jennifer Lopez. She told our correspondent Lucrezia Millarini that the Rolling Stones are just part of British culture:
Mick Jagger has hinted the Rolling Stones might play the same set list at Saturday's Hyde Park gig that they played first time round in 1969 - but there will be no repeat of the stunt that saw him release hundreds of butterflies into the crowd.
This weekend's performance comes almost 44 years to the day since they played the famous free concert in the central London park.
The singer told Absolute Radio's Pete Mitchell: "Obviously, the same set list is going to be used, it saves me having to think."
Jagger admitted that this time the songs might be played "in a slightly different order", saying: "I'll put them in the butterfly boxes and then throw them in there cut out and then shake them and then see what comes out and in what order."
He said there would be no butterflies released because they "didn't go down very well last time".
Sir Mick Jagger has said he is looking forward to the Rolling Stones' concert in July:
"We had such a great time playing the five concerts last year, we want to keep it going. Hyde Park holds such great memories for us and we can't think of anywhere better to perform to our UK fans this summer."