Officials said at least seven people lost their lives in the complex attack in Kabul city.
Presidential candidates said President Ghani has “deliberately” postponed the elections to remain in power.
Presidential Candidate Shahab Hakimi said he sees a political motive behind the Jirga.
The activists said they call on the Afghan government and the Taliban to agree on a ceasefire.
A spokesman for the Ministry of Public Health said that at least six people have been wounded in the attack.
The President of Kyrgyzstan vowed his country’s long-term support to peace efforts in Afghanistan.
Political commentators said the cancellation of the meeting shows that there is “no sincere will for peace”.
Kay said Taliban should not focus on fighting at a time that efforts are concentrated on peace.
The NDS said the explosion happened when the technical team was trying to defuse explosive devices.
RSF figures show that at least four media workers have been killed in Afghanistan so far this year.
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