Brown is being held with two other unidentified people, the source said Tuesday. The US Embassy in Paris declined to comment on the report.
CNN has reached Brown's lawyer.
The singer has had several run-ins with the law, including physical assaults after an incident with his then boyfriend Rihanna in 2009. He was charged with crime abuses and constituted criminal threats in that incident and received five years of probation and community service.
Most recently, before the Paris incident, Brown was arrested after a July concert on a crime battery charge due to an episode in April 2017, when he was accused of beating a man who photographed him without permission.
He was released after filing a $ 2000 security deposit, not guilty of a subsequent hearing and awaiting trial.
Later that year, Brown was kicked out of a rehab facility after breaking his mother's car window during a family session. A judge ordered him to immediately enter into another rehab program.