Attorney General Jesus Murillo Karam said Wednesday one of the suspects remains at large.
CNN said the six suspects stormed a beach and attacked the tourists, tying up the men and raping the women.
Investigators have not determined whether the suspects are part of a gang, CNN said.
Murillo Karam said one suspect was arrested Tuesday and five others were arrested early Wednesday.
CNN said one of the suspects is just 16 years old.
Swim Week Miami Beach 2014 [PHOTOS]