The 25-year-old, who has earned 50 caps for Morocco scoring 15 goals, netted 13 times in Ligue 1 to help secure a first league crown in 10 years for les Girondins.
Arsenal, Tottenham Hotspur and Sunderland were all believed to be chasing the highly-rated forward, with Chamakh himself recently admitting he would be leaving Bordeaux at the end of the season, with the Emirates Stadium a possible destination.
"I will stay here next season, I want to be part of the club," he told skysports.com.
"I like the team spirit here. It is true I wanted to leave and I want to realise my dream of playing in the Premier League, but I owe something back to Bordeaux.
"I will stay next season. I want to be part of this great team and we are looking forward to next year's Champions League."
NEWS: Chamakh hints at Arsenal summer switch
NEWS: Wenger denies interest in Chamakh
NEWS: Lyon chief keen on snatching Chamakh
NEWS: Chamakh reveals Arsenal ambition
NEWS: Chamakh interested in Spurs, not Sunderland
NEWS: Bordeaux boss Blanc warns clubs off Chamakh
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