The 29-year-old defensive midfielder is joining the Ligue 1 side after four years at Wolfsburg and has signed a four-year deal with his new clubMarseille have completed the signing of Luiz Gustavo from Wolfsburg in a deal believed to be worth €8 million.
The midfielder was a transfer target for Arsenal back in 2013 but opted to leave Bayern Munich for their Bundesliga rivals Wolfsburg.
He has gone on to make over 100 Bundesliga appearances for the club, but has now decided to make the move to France and signed a four-year contract with Marseille.
The 29-year-old won a league, cup and Champions League treble during his time at Bayern, adding a DFB-Pokal and DFL-Supercup to his trophy collection while at Wolfsburg.
Gustavo becomes Marseille's third signing of the summer, with Florian Thauvin having completed a permanent switch from Newcastle United and Valere Germain arriving from Monaco.