The 31-year-old striker has ended his three-year stay at Manchester United, moving to Turkey in a bid to guarantee first-team football ahead of next summer's European Championship.
Fenerbahce has completed the signing of Robin van Persie from Manchester United.
The veteran striker moves for a fee in the region of 4.7 million pounds ($7.3m) and will join former United teammate Nani in Istanbul.
Talks had hinged on a settlement agreement between Van Persie and United, negotiating a payoff for the final year of his contract, and he now becomes Fenerbahce’s highest paid player.