The 26-year-old Brazilian, who joined the Blues for a record £32.5m back in September 2008, spent the second half of last season on loan at Santos.
He is thought to have cost Milan in the region of £15m and a statement from the Italian club read: "AC Milan announces it has acquired player Robinho on a permanent deal from Manchester City.
"The Brazilian player has signed a four-year contract with the Rossoneri club."
Earlier on Monday, Robinho expressed his satisfaction about joining the Italian giants.
"I am very happy," he said. "Milan is an excellent club."
In total Robinho made 48 starts for City and scored 16 goals.
Meanwhile, City midfielder Adam Clayton has joined Leeds on a permanent deal. The 21-year-old did not make a first-team appearance for the Blues.
Michael Johnson is staying at City despite rumours of a Portsmouth loan deal.
What do you think? Have your say.
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Showing comments 1 to 25 and replies | View All
Colin Bell's Boots, Wilmslow (31/08/2010 at 15:46)
51%er, denton (31/08/2010 at 15:50)
Gerry Gow's jockstrap (31/08/2010 at 15:54)
Stu in Florida, Melbourne (31/08/2010 at 16:01)
He's by far CIty's most creative player. Absolute hubris to sell him.
leighblue, Leigh (31/08/2010 at 16:55)
Santiago Street, (31/08/2010 at 16:02)
Bellers would ensure that the squad welcomed him in the correct manner
john marah (31/08/2010 at 16:10)
SwampDonkey, London (31/08/2010 at 16:45)
Colin Bell's Boots, Wilmslow (31/08/2010 at 16:14)
more paper talk - anything to keep selling Robinho stories.
He's by far CIty's most creative player. Absolute hubris to sell him.
Absolute bollocks !!!
Dog Egg, Laying by the corner flag at Eastlands (31/08/2010 at 17:04)
mark jones (01/09/2010 at 09:33)
Neil Allen (31/08/2010 at 16:23)
Comeon Boriello, refuse to move, it would be funny if you did, means this joker doesn't get the move he wants and he has to stay in big bad rainy Manchester for 6 months and cry that his mummy cannot get to cook him his meals or read him night-time stories.
david7mcfc, Manchester (31/08/2010 at 16:27)
Not sorry to see him go. Much prefer the players we have in his position. May not have quite as much talent, but they have 1000 times more desire.
Uwe the Goat, Brighton (31/08/2010 at 16:37)
I note that AC Milan already have Ronaldinho and Pato in their ranks so I wonder whether he will reprise his role as lusaphone dummy spitter in chief that he played so marvellously to help earn Elano a move away from Eastlands and Jo a spell in the soccer cul-de-sac.
Once a blue,always a blue, Levenshulme, Manchester (31/08/2010 at 16:52)
As far as i am concerned he's alraedy gone!!!!
kevin cairns, morecambe (31/08/2010 at 16:55)
Once a blue,always a blue, Levenshulme, Manchester (31/08/2010 at 16:56)
He's gone !!!!!
PERMENANT 4 YR DEAL !!!
kevin cairns, morecambe (31/08/2010 at 16:56)
Blue,Reid, warrington (31/08/2010 at 16:57)
steve grimsley, Perth (31/08/2010 at 16:59)
GOOD RIDDANCE TO THE ARROGANT POSER
citypedro, manchester (31/08/2010 at 16:59)
mick the red fireman, middleton (31/08/2010 at 17:00)
Nellie wheres yurandbag, Gods own country (31/08/2010 at 17:43)
Moston Blue (31/08/2010 at 17:48)
Mr-T (31/08/2010 at 19:51)
Blue Moon over Bourbon Street, Manchester (31/08/2010 at 17:01)
mcfc_daz (31/08/2010 at 17:03)
Once a blue,always a blue, Levenshulme, Manchester (31/08/2010 at 17:04)
I was delighted to see him sign but more delighted now he has gone.
Not a team player too self centred + moody and too much of a disruptive influence.
We do not need his sort now !!
Ahoyskin, Philadelphia, PA USA (31/08/2010 at 17:04)
Once a blue,always a blue, Levenshulme, Manchester (31/08/2010 at 17:05)
Bet it was not his fault !!!
Colin Bell's Boots, Wilmslow (31/08/2010 at 17:06)
How long before he is wanting to go back to Santos because he cannot hack Italian football ?
Neil Allen (31/08/2010 at 17:17)
wilberblue, manchester (31/08/2010 at 17:27)
Jeff Lebowski (31/08/2010 at 17:37)
Spanish Blue, Spain (31/08/2010 at 17:06)
Supreme talent wasted on someone with no guts.
Tara
billy shears, japan (31/08/2010 at 18:02)
ray class of '68 and before, Bristol Area (31/08/2010 at 21:01)
billy shears, japan (31/08/2010 at 18:02)
billy shears, japan.....You shouldn't talk about a great musical composer like that, either. I recon the Pink Panther Theme and Moon River were two brilliant scores! More than you can say for Robinho. HAve you visited the Manchester City Stadium, yet? You ought to...lots of photo opportunities! TTFN