Sediq Sediqqi, a spokesman for the Afghan Interior Ministry, said Mujedi, a parliamentarian from eastern Paktia province, was wounded in the bombing along with seven other people.
"The target of the attack was the lawmaker Mujedi, who was coming out of a meeting from an office when the bomber attacked him," Sediqqi said.
No group has claimed responsibility, but Taliban militants have stepped up their insurgent attacks recently using roadside bombs and suicide bombers to target Afghan security forces and government officials.