Iran Press/Asia: The explosion struck outside an education center in a heavily Shiite neighborhood of western Kabul.
The interior ministry spokesman Tariq Arian says that the attacker was trying to enter the center when he was stopped by security guards.
At least 13 people were killed in the attack.
No group claimed immediate responsibility for the bombing. The Taliban rejected any connection with the attack.
An ISIS affiliate claimed responsibility for a similar suicide attack at an education center in August 2018, in which 34 students were killed.
Within Afghanistan, ISIS has launched large-scale attacks on Shiites.
Earlier Saturday a roadside bomb killed nine people in eastern Afghanistan after it struck a minivan full of civilians near Ghazni city, a local official said.
Ghazni province police spokesman Ahmad Khan Sirat said that a second roadside bomb killed two policemen after it struck their vehicle that was making its way to the victims of the first explosion.
Sirat added that the bombings had wounded several others and that the attacks were under investigation.
No one immediately claimed responsibility for the attacks. The provincial police spokesman claimed the Taliban had placed the bomb.
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