The Chelsea defender was strongly linked with the Spanish side over the summer.
Reports claim Barcelona were prepared to pay £65million to bring the defender to Camp Nou.
Luiz told Gazeta Esportiva: “There was an official proposal [from Barcelona], but I opted for Chelsea. It was better for me and better for everyone.
“I am happy to be at a big club and be in the national team representing my country.”
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.