The spokesman in Nangarhar, Attaullah Khogyani, said the bomb went off around noon as tribal elders gathered in the hotel room in Jalalabad, the provincial capital, to discuss village problems.
Khogyani said three other elders were wounded in the blast and that another bomb was discovered and defused by police forces near the hotel.
There were no further details and no one immediately claimed responsibility for the bombing. Both the Taliban and Afghanistans Islamic State affiliate are active in Nangarhar.
Mehri added that 13 insurgents were also killed in the fighting, which started on Monday night and lasted till early Tuesday morning.
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Qari Yusouf Ahmadi, a Taliban spokesman claimed responsibility for the attacks in Farah. In statement sent to the media, he claimed the Taliban captured 10 policemen as hostages.
The abductions were not confirmed by provincial authorities.
Also today, two gunmen opened fire at the police, killing one officer in eastern Kapisa province. Provincial spokesman Qais Qaderi said both gunmen were killed and five suspects were arrested by police forces in Mohmood Raqi, the provincial capital.
Nearly a month ago, the Islamic States group claimed responsibility for a coordinated attack on Save the Children organization in the city of Jalalabad in which four people were killed and a shootout with police lasted almost 10 hours.
Among the four killed were two staffers of the NGO, a security guard who also worked for Save the Children and an Afghan army soldier, according to provincial officials.