The English club announced the deal on their website and revealed that the Premier League's highest goal scorer for 2014 will be wearing the number 14.
"City have completed the signing of Wilfried Bony from Swansea City," a statement read. "The 26-year-old striker has agreed terms on a four-and-a-half year deal which will keep him at the Etihad Stadium until the end of the 2018/19 season.
"He will wear the number 14 shirt."
Bony expressed his delight at the move, claiming that he's proud to be at the club.
"It's a great feeling for me, it's a big honour to be here and it's a great challenge.
"As a player it's always good to be part of one of the biggest clubs in the world and it's a good opportunity for me to be in that situation now – I'm really proud."
The fee involved in the deal has not been officially disclosed, but is rumoured to be in the region of £27 million.
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