He would be joined by Turan nine minutes later when he failed to recover from a pelvic injury sustained in a collision with Cesc Fabregas.
And, although Costa and Turan’s injuries will reduce its chances of winning next week’s Champions League final against bitter rivals Real Madrid, Atletico will first be celebrating the end to its 18-year Liga drought.
Villa was the first to go close, firing a left-footed volley into the post after beating Barcelona m88 goalkeeper Jose Pinto with a quick shot on the turn.
But sloppy marking from a corner would ultimately cost the hosts, which allowed Godin to steal in unmarked and head in the all-important equalizer four minutes into the second half.
Messi was the man to fire home an instinctive volley – which flew into the roof of the net from close range – only for his effort to be adjudged offside.
Injuries to Diego Costa (hamstring) and Arda Turan (pelvis) inside the first 25 minutes looked to have damaged Atletico’s hopes, and Alexis Sanchez’s stunning 34th-minute goal gave Barcelona all the momentum.
The title is Atletico’s 10th in the Spanish top flight and ensures it finishes the season unbeaten in all six matches it has played against Barcelona.
Neymar made his first appearance in more than a month from the bench as Martino chased the game and, in the 63rd minute, Barcelona thought it had taken the lead.
Any suggestions Atletico would play for a draw were quashed in the early stages, as Miranda nodded a free kick wide before Juanfran’s dangerous ball into the penalty area had to be cleared by Pique.
The striker, who has scored 36 goals in 51 appearances this season, could not control his emotions as he broke down in tears on the bench.
Lionel Messi had a goal ruled out for offside as the hosts sought a response, but they were ultimately denied by the visitors’ typically stubborn defense, as Atleti clinched the title by three points.
Simeone’s men led the league by as many as six points in April but stuttered in the run-in, only to produce when it counted in Barcelona, which may have played its last match for under-pressure coach Gerardo Martino.
Diego Godin’s second half header saw Atletico Madrid stun Camp Nou and lift La Liga for the first time since 1996 following its 1-1 draw with Barcelona.
But disaster struck for the visitors in the 14th minute as Costa pulled up clutching his hamstring and was forced off.
The forward was then played in, but under pressure from Alves could not get a shot off before the onrushing Pinto cleared.
Passed fit to play despite pre-match doubts, Costa started alongside ex-Barcelona forward David Villa, while the hosts – which surprisingly left out Xavi – recalled Gerard Pique after he recovered from a hip injury sustained against the same opponents last month.
Tempers frayed before halftime, with four players booked in the 10 minutes before the break, and Atletico came out breathing fire once play resumed.
Messi chested down a lobbed Fabregas ball and Alexis pounced, thrashing a half-volley past Atletico goalkeeper Thibaut Courtois and into the top-right corner from an incredibly difficult angle.
Atletico did get its goal four minutes into the second half, as the unmarked Godin made the most of Barca’s flat-footed defense to score a towering header from Gabi’s corner.. Pedro’s failure to hit the target from a free header was particularly disappointing, but Alexis sent the partisan crowd wild in the 34th minute with his outstanding finish from just inside the area.
Atletico’s double blow gave Barcelona a boost and after a cagey start it started to create chances as Alexis and Pedro failed to convert headers after excellent crosses from Dani Alves on the right.
Alves had a fierce strike tipped over in the latter stages, but despite late pressure, Atletico clung on and was applauded for its efforts by the Camp Nou faithful at full time amid wild celebrations from the small contingent of away supporters
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