The force includes Brazilian army troops, police, municipal guards and agents from Brazil's federal intelligence service Abin, reports Xinhua.
Local officials fear protesters could interrupt the draw
Counter-terror troops as well as air force and navy units will also patrol the area surrounding the luxury resort on Brazil's northeast coast.
The event is expected to attract 4,800 accredited guests, meaning there will be three guards for every four invitees.
The adjacent city of Salvador was home to violent protests amid nationwide social unrest during the Confederations Cup in June. Incidents included the stoning of a FIFA bus and an attempt by demonstrators to invade a hotel accommodating the organisation's officials.
Brazil's Bahia state government vowed law enforcement authorities would be on high alert during the event.
"We are going to repeat the enforcement model used during the Confederations Cup, assuring the delegations, journalists and others present, a rapid response if necessary," Bahia's security secretary Mauricio Teles Barbosa said.
Local officials fear protesters could interrupt the draw by blocking the only road linking Costa do Sauipe to Salvador.
FIFA president Sepp Blatter earlier admitted security had been a major point discussed during a meeting with the local World Cup organising committee.