The Belgium star, 21, is rated as one of European football’s top speedy prospects.
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Pep Guardiola targeted Doku after losing Riyad Mahrez to the Saudi Arabia gold rush.
And City have finally got their man, with dribble king Doku penning a five-year deal at the Etihad.
The ace, who made his pro debut at 16 with Anderlecht, scored seven goals in 35 games for Rennes last term.
But City’s trip to Sheffield United on Sunday may come too soon for Doku, who was also linked with Liverpool, to make his debut.
The forward, who inherits the No11 shirt left vacant after Oleksandr Zinchenko’s move to Arsenal last year, said: “This is a great day for me, both personally and professionally.
“Manchester City are the best team in world football, so to be joining them is something very special for me and my family.
“I am a young player with so much learning and improving to do.
“Working with Pep and his staff, and playing alongside these work-class players, will make me a much better player. I feel sure of that.
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“Watching City last season was amazing. To win the Treble is the hardest thing in football and they did it. You cannot imagine how exciting it is to be joining this team.
“I cannot wait to get started. Hopefully I can make the fans happy.”
Director of Football Txiki Begiristain added: “Jeremy is a very exciting young player and I’m so pleased he’s joining us.
“In terms of raw attributes, he has everything a winger needs. He has outstanding pace and he is exceptional in one-on-one situations.
“I honestly believe working with Pep and the technical staff here at City will see him develop into a world-class attacking talent.”
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