Meantime, spokesman for Nangarhar's provincial government Attaullah Khogiani told Xinhua that 68 people were killed and 165 others injured, saying more details would be available after completion of an investigation.
The protesters had gathered to denounce Bilal Pacha, a police commander in the Nangarhar Province who they suspect of murder, robberies and maintaining a private prison, The New York Times reported.
Local officials and people did not rule out the involvement of the hardliner Islamic State (IS) group in the carnage.
Tuesday's bombing was one of the worst in Afghanistan for months but security officials have warned that similar attacks are likely if crowds gather for campaign rallies ahead of parliamentary elections in October.
Violence across the country has intensified in recent weeks as the Taliban make gains on the battlefield and IS launches deadly urban attacks.
Local officials said the wounded were taken to Jalalabad hospitals.
In early September, at least 20 people, including two journalists came on the scene, had been killed in a double bombing claimed by the EI for the shi'a community of the capital. The protest was held in Mohmand Dara district near Jalalabad-Torkham Highway.
In addition to the strikes against the protesters, three schools in the area were also hit.
Men carry a dead body with a civilian vehicle in Momandara district of Nangarhar province, Afghanistan, Tuesday, Sept. 11, 2018.
High-intensity, explosion, claimed by the taliban, had literally shaken the city, which shattered the glass around in a district, however, assumed to be well-kept, which houses many official buildings or sensitive, including embassies. The provincial governor's spokesman, Attahullah Khogyani, made a statement with a revised casualty total on Wednesday.
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