President Goodluck Jonathan, who had been addressing supporters of his ruling Peoples Democratic Party (PDP) in Gombe city, had just left the venue when the blast happened in a car park outside.
Rescue workers and health officials said the bodies of two women were brought to the Gombe State Specialist Hospital with 18 people who were injured.
"We have evacuated two bodies of females we believe were suicide bombers behind the blast," said the rescue official, who asked to remain anonymous because he was not authorised to speak to media.
Yesterday's attacks left at least five people dead in a weekend of deadly violence that also saw the Islamists attack the key city of Maiduguri for the second time in a week.
Nigerian troops, aided by civilian vigilantes, repelled the attack while Chad and Cameroon bombed the Boko Haram-held town of Gamboru, on the eastern fringe of Borno State.
Security analysts believe Maiduguri, the Borno state capital, will likely be hit again before polling day, given its symbolism for the group and because it would undermine the February 14 vote.
Nnamdi Obasi, Nigeria researcher at the International Crisis Group, said the upsurge in violence was "predictable" and that another strike on Maiduguri was on the cards.
Boko Haram is in control of most of Borno and has effectively surrounded Maiduguri, which is seen as one of the few places left in the state where voting could feasibly still take place.
Turnout could be affected if large numbers of people, may of them displaced by six years of violence, desert the city, which with other areas in the northeast is a main opposition stronghold.
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