F-1 visas are intended to enable foreign students to study in the U.S., hence, there are strict work restrictions. Students with F-1 visas are generally allowed to work on the campus of the school at which they study for up to 20 hours a week. There are also two training programs that F-1 students can get permission to work under. F1 students should always seek advice from the DSO (or foreign student advisor) before seeking employment in the United States.
For more information on employment for international students follow this link.