The Brasilia stadium cost $590 million and has been heavily criticized because the capital does not have a team in Brazil's top two divisions.
Despite Brazil's image as a football crazy country, most league matches are poorly attended.
Brazil is preparing 12 new and renovated stadiums for next year's World Cup, at a cost estimated at $3.5 billion. The lavish spending on sports events in a country with under-funded schools and hospitals helped draw millions to street protests in June during the Confederations Cup, the warm-up event for next year's World Cup.
The least expensive seat for a friendly match four months ago between Brazil and England at Rio de Janeiro's newly renovated Maracana Stadium was about $45. That was 30 times more than the cheapest seat eight years ago at the historic stadium.
Rebelo was asked if public subsidies might be offered so poorer fans could attend matches.
He said it wasn't being considered, but left open the possibility that football matches might be treated as cultural events and could be eligible for state aid.