Barca will pay 31-year-old De Jong’s salary this season and have an option to make his stay permanent next summer.
Atletico take on Griezmann’s salary this term, but there is a compulsory clause to make the transfer permanent.
The 30-year-old returns to Atletico two years after he joined Barca for £107m.
The France striker scored 133 goals in 257 games for Atletico, winning the Europa League, Uefa Super Cup and Spanish Super Cup during his time in the Spanish capital.
But the 30-year-old scored just 35 goals in 102 games and managed to win only the Copa del Rey with Barca.
Last summer, Atletico signed striker Luis Suarez from Barcelona and he helped Diego Simeone’s side win La Liga.