The 35-year-old was booked by police after he was found with one gram of the drug in a hotel room in Shreveport, Louisiana, on Friday 25 March.
He was released from custody and has continued with his US tour alongside rapper Lil Wayne.
His most recent album, Teflon Don, was released in 2010 and featured collaborations with Kanye West and Ne-Yo.
The rapper, real name William Roberts II, has brought out four studio albums with his fifth due this year.
Another man with Rick Ross in the hotel was also arrested for possessing eight grams of the drug.