A security official said the incident took place after a magnetic bomb planted in the vehicle of MP Ataullah Faizani was detonated in Chel Siton area.
The official further added that five others were also wounded in the blast and the health condition of two of them has been reported critical.
No group has so far claimed responsibility behind the incident.
This comes as a lawmaker Sher Wali was killed in a similar attack in the 5th police district of Kabul city earlier this month.
Sherwali Wardak was the brother of the former education minister Farooq who was killed after an Improvised Explosive Device planted near his residence was detonated on the evening of 6th June.
Taliban insurgents have stepped up attacks against the security forces and government officials across the country recently.