The Sweden international has become the latest big-money signing to join PSG this summer, with Ibrahimovic's former Milan team-mate Thiago Silva and former Napoli winger Ezequiel Lavezzi already at the Parc des Princes.
And Ibrahimovic, who has signed a three-year deal after a fee reported to be 20million euros (£15.7m) was agreed, believes his new club are capable of achieving great things.
"I'm finally here in Paris," he said at his unveiling this afternoon. "It's a dream which has become reality, for me it's a big step in my career. Playing for PSG is an incredible thing.
"It's a beautiful project and one I'm happy to be a part of. Now that I'm here I want to play my part in the history of this club.
"I'm here to win and that's the most important thing."
Carlo Ancelotti's men finished second behind Montpellier in Ligue 1 this season but his squad has been heavily bolstered, with PSG also announcing the signing of Italian Under-21 international Marco Verratti from Serie A outfit Pescara.
The 19-year-old midfielder, who was called up to Italy's pre-Euro 2012 squad, is highly rated and has signed a five-year contract.
Ibrahimovic said: "(PSG) is a dream team that wants to keep on growing. They've bought Thiago Silva, the best player in the world. There aren't many clubs as strong as us in Europe. I don't know of many.
"I am here to win with this incredible squad and we want to win against all opposition we come up against.
"We're looking forward and thinking only of winning, which is the most important thing. At PSG I can play with the best in the world, elsewhere that couldn't happen.
"I want to give my all for this squad which is the future of European football."
Ibrahimovic, who had a contract with Milan until June 2015, was Serie A's top scorer last season, netting 28 goals as the Rossoneri finished runners-up to Juventus.
The former Barcelona, Juve, Inter Milan and Ajax striker added: "I've got nothing bad to say about Milan. I'll always have great memories of the Rossoneri because they gave me great joy and the whole time I spent there was great.
"Now it's time to think only of PSG. I wish Milan all the best and I hope they go on winning without me. I gave all I had for the Rossonero shirt and I don't want to cast doubt on my great memories.
"It wasn't (Massimiliano) Allegri who asked for my transfer. I'm here of my own accord and that's that."