The 29-year-old, capped 13 times for France, has not been involved at all in Paris over the past 12 months, and joins Fulham on a season-long loan deal from the the Ligue 1 side.
It is unlikely to be be the only deal Fulham wrap up in the final hours of the summer transfer window, with Willian set to arrive on a free transfer and Dan James close to sealing a loan switch from Leeds. The club are also pushing to sign former Tottenham forward Carlos Vinicius.
“I feel very, very happy to be here, it’s a family here, everyone is very cool,” Kurzawa told FFCtv.
“I’ve watched every Fulham game this season, and I can’t wait to play with this team.”
Fulham director Tony Khan said: “I’m thrilled that we’ve been able to add Layvin Kurzawa to our squad.
“As we work to build on our good start to this season, adding a player of his talent and his experience against top competition will complement our team well.
“Layvin is excited to be part of Marco’s squad and to play for Fulham! Come on Fulham!”
The newly-promoted side have made a really positive start to the season, sitting seventh in the table with eight points from their opening five matches. A narrow loss against Arsenal at the Emirates is their only league defeat of the season so far.