The international group said Wednesday that two of the four are still in custody after a July 17th raid on the Rangoon offices of the weekly publication First Eleven.
The article that led to their arrests was about a Burmese football team's failure to appear at an Asian tournament.
A statement from the media watchdog says editor U Zaw Thet Htwe was arrested along with journalists Than Htut Aung, U Zaw Myint and Soe Pa Pa Hlaing.
The group reports two of the journalists were released on July 19th, while one other journalist and the magazine's editor remain in custody.
Military police have reportedly told other magazine staff members to continue publishing the magazine while respecting Burma's censorship rules.
Information for this report is provided by RSF and AFP.