Bashary said the bomber appeared to miss the target and that the person who had died was a civilian in a nearby taxi.
Mohammad Sharif, a witness, said: "I ran out. Police at the roundabout starting shooting in the air. I saw a man screaming, lying on the road with his bicycle."
Sharif also said that two taxis were damaged, estimating that three or four of the passengers were wounded.
On January 14, the Taliban also claimed responsibility for an assault on a five-star hotel in Kabul, that killed at least eight people.