Muezuddin Ahmadi, provincial director of information and culture department, told the DPA news agency that a roadside bomb had exploded near the gate of the municipality in the provincial capital Faizabad.
The Taliban official noted that none of their members was harmed in the bombing.
There was no immediate claim of responsibility for the attack.
Following the Taliban's return to power last year, gunfire was widely silenced across the war-torn country.
But, almost immediately, an armed resistance formed against the hardliners in the country's north.
However, its members have not been able to take control of any regions.
Instead, deadly bombings, often claimed by the Islamic State group, have become frequent.
The targets are mostly religious minorities as well as Taliban officials.
On Friday, at least seven civilians were killed and 41 others wounded in a car bombing in front of a mosque in Kabul's Wazir Akbar Khan, an area where many foreign embassies were located and are now controlled by the ruling Taliban.
The country remains isolated from much of the world due to the Taliban's draconian policies against women, their disregard of human rights and their refusal to form a representative government.
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