The couple had been accused of copyright infringement for their 2013 single because of the similarities with Gaye's 1977 hit "Got to Give It Up."
Gaye died in 1984 after being shot to death by his father, Marvin Gay Sr. (the singer added the "e" to create his stage name).
Thicke and Williams received the order in 2015 to pay Gaye's estate more than $ 7 million, but that ruling was reduced to $ 5.3 million and the couple appealed the verdict.
In the recent trial of District Judge John A. Kronstadt in California, Thicke, Williams and Williams & # 39; More Water From Nazareth Publishing are required to jointly pay Gaye's family damages of almost $ 2.9 million.
In addition, Thicke was ordered to pay more than $ 1.7 million and Williams and his publishing company must pay $ 357,631 in separate awards to Gaye's estate.
The ruling also granted prejudice interests to Gaye's family over the damages and 50% of the rights of the "Blurred Lines" that are advancing.
It was also ruled that each party was responsible for its own legal fees.
CNN approached representatives of Thicke and Williams on Thursday.