ThisDay newspaper, an influential daily, which is broadly supportive of Nigerian President Goodluck Jonathan's government.
"We have collected three bodies but before we got here people had already been moved," Nigerian Red Cross spokesman Nwakpa Nwakpa said at the scene of the Abuja blast.
No group or person has claimed responsibility for the attack yet, though they mirrored others previously carried out by the militant group Boko Haram.
Group Boko Haram has claimed responsibility for a number of deadly gun and bomb attacks in several parts of Nigeria since 2009.
Human rights groups report that violence by the extremist group since mid-2009 has claimed more than 1,000 lives, including more than 300 this year alone.
Twin bomb attacks have rocked the offices of a major Nigerian newspaper in the capital Abuja and the northern city of Kaduna, killing at least six people.
The Thursday attacks targeted the offices of