Miami Dade County Jail spokeswoman Janelle Hall said Vilma was arrested Friday afternoon and released later that night on $6,500 bail.
A call to a team spokesman was not immediately returned.
"Clearly he's upset about being arrested and plans to fight it," Vilma's agent, Mitch Frankel, told The Associated Press. "There was no alcohol, drugs or firearms involved. Jonathan plans to vigorously fight it."
Frankel added that Vilma was on his way to pick up someone at the airport and didn't know why he was stopped for an "alleged traffic violation."
Vilma will be a free agent this winter, but has said he would prefer to stay in New Orleans. He played every defensive snap and led the team in tackles in his first season with New Orleans after spending his first four years with the New York Jets. The Saints have said they intend to re-sign him.