"The military police made a mistake in listing the product among those to be acquired with a view to the World Cup which will be held in the dry season," said the Federal District government in a statement.
Brazilian media had criticised the plans as an example of wasteful spending by authorities, pointing out that the jackets would have cost a total of 5.35 million reais (£1.7m).
Rainfall is very rare between May and July in Brasilia and the air humidity often drops to 30 percent.
The Brazilian capital, a planned city founded in 1960, will stage five matches at the World Cup and will also host games at the Confederations Cup in June.
The new 72,000-capacity Mane Garrincha stadium has been plagued by delays and its opening has been postponed until May 18, leaving FIFA on tenterhooks.
- Sports & Recreation