"Sweden international Zlatan Ibrahimovic, 30, has been transferred from AC Milan and signed a three-year deal in favour of Paris Saint-Germain," PSG said on their website (www.psg.fr).
The club did not give any financial details of the deal but French media estimated the transfer fee of just over 20 million euros.
"I want to thank PSG because they made something impossible possible. It's a big step in my career. Another dream come true," Ibrahimovic told reporters at the Parc des Princes.
"This is a very interesting project. I had no doubts about it when Paris contacted my manager. Everything was clear in my head. I want to be part of this history. I'm sure we'll write this history. I'm here for winning."
With a team featuring Ibrahimovic they are now expected to set the pace in the French league having spent over 100 million euros on players during the close season.
Brazil's 27-year-old centre back Thiago Silva, rated as one of the best defenders in the world, also signed for PSG last week after leaving Milan for an estimated 40-45 million euros.
Ibrahimovic also joins Argentine forward Ezequiel Lavezzi, who signed for PSG earlier this month, and Marco Verratti, who arrived from Pescara today, as the club from the capital seek to play a major role in Europe this term.
Qatar-backed PSG finished second in Ligue 1 last season and will play in the Champions League.
"Sure he will add big value for PSG and for the French league," said PSG president Nasser al-Khelaifi. "We'll be more competitive in the Champions League as well.
"A lot of media were asking us why we hadn't yet got a superstar. Now, we have one. It will be a very exciting season."