Ibrahimovic joins the big-spending Ligue 1 side on a three-year contract from AC Milan for a reported fee of around 20 million euros ($24.5m), and stands to earn a salary worth 14m euros a year.
“I want to thank Paris Saint-Germain and (sporting director) Leonardo for the great work they’ve done,” Ibrahimovic told reporters at Parc des Princes.
“I think they’ve made something that looked impossible, possible. I’m very happy to be sitting here. After lots of talks, I’m finally a PSG player. It’s a big step in my career, another dream come true.
“I think this is a very interesting project and I had no doubts. In my mind I was very clear, and I knew what I wanted.
“I want to be part of this club’s history and I’m pretty sure we will make history. I came here to win, not for anything else, and I’m pretty sure we’ll win some trophies.”
He added: “I’m joining a dream team. They’ll do everything to win and I want to be part of it. They already have some great players.
“And they’ve bought the best defender in the world, Thiago Silva. As long as I have him behind me, I don’t need to look back.
“They’re bringing together the very best. Who wouldn’t want to be here?”
The 30-year-old follows in the footsteps of former Milan colleague Thiago Silva, who completed a 42m-euro move to Paris last week that made the Brazil centre-back the most expensive player in French football history.