The speakers made the call shortly after visiting Governor Seyi Makinde over the January 16 explosion in the Bodija area of Ibadan.
The NBA chairman charged members of the society to always speak up and report suspicious issues around them.
The party said it was saddened by the explosion, which claimed the lives of citizens, critically injuring others and left many displaced.
Mr Alonge said two corpses were recovered from the rumbles between Wednesday night and Thursday morning.
The explosion occurred at 7.30 p.m. at Dejo Oyelese Street in Old Bodija in Ibadan, with the government claiming only two people died.
The governor vowed that those found culpable in the explosion would be brought to book.
