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London defender Alex is moving to the club for 6 million euros.
Brazil passed a medical examination and signed a three-year contract.
"I have practically not played for the last two months, so I wanted to leave the London team," said 29-year-old Alex. "Negotiations with PSG went very well.
"I know how famous this club is, so I really wanted to come here. Besides, I have already worked with coach Carlo Ancelotti for two years."
At the same time, the Italian specialist added: "It was a great opportunity considering the price and his willingness to move here. I know Alex very well - he is a fantastic player and a great guy. Plus, he lacks experience."