Toure's long-range blast, which deceived goalkeeper Asmir Begovic after flicking off Ryan Shawcross, rescued his side after Peter Crouch's magnificent volley had given Stoke a 59th-minute advantage at the Britannia Stadium.
Manchester City joined United on 70 points but edged top on goal difference although the champions will go three points clear if they beat Fulham at Old Trafford on Monday.
Chelsea drew 0-0 at home to Tottenham Hotspur - a result that left the Stamford Bridge club five points behind their fourth-placed opponents and eight shy of Arsenal who consolidated third spot with a 3-0 defeat of Aston Villa.
Kieran Gibbs, Theo Walcott and Mikel Arteta secured a seventh consecutive league win for Arsenal.
At the other end of the table, Wigan Athletic gave their survival prospects a boost with a shock 2-1 win at Liverpool who have now won only twice in 11 league games.
Gary Caldwell's 63rd-minute strike handed Wigan their maiden victory at Anfield.
Bolton Wanderers earned an emotional 2-1 triumph over fellow relegation candidates Blackburn Rovers in their first match since midfielder Fabrice Muamba suffered a cardiac arrest at Tottenham in the FA Cup last Saturday.
Victory for Bolton, secured with two goals from defender David Wheater, lifted them out of the relegation zone above Queens Park Rangers who had striker Djibril Cisse sent off in a 3-1 defeat at Sunderland.
Wolverhampton Wanderers remained bottom after a 2-1 defeat at Norwich City while Swansea City lost 2-0 at home to Everton.
Manchester City have won all 15 home league games this season but their mediocre away form is threatening to deny them a first top-flight title since 1968.
GOAL OF SEASON
They have won only two of their last nine on the road and it could have been even worse on Saturday after Crouch stunned them with a contender for goal of the season.
Cushioning a dropping ball on his left foot 30 metres from goal, the out of favour England striker dispatched an unstoppable volley high over the diving Joe Hart.
Manager Roberto Mancini introduced Carlos Tevez from the bench after 73 minutes but it was Toure three minutes later who brought the visitors level when he let fly from 25 metres, his shot glancing off the head of Shawcross before evading Begovic.
Crouch, who scored for Spurs in 2010 to deprive Manchester City of Champions League football the following season, said he hoped his goal would nudge him towards selection for England's Euro 2012 squad.
"It's probably the best goal I've ever scored," he told ESPN. "I always enjoy a volley but they don't normally fly in like that.
"When I joined Stoke I said if I'm
Get the best features, fun and footballing frolics straight to your inbox every week.
Thank you for signing up to Four Four Two. You will receive a verification email shortly.
There was a problem. Please refresh the page and try again.