NATO spokesman Major Luke Knittig confirmed three NATO received "minor injuries" in the attack.
Kabul police said three Afghan civilians were also wounded in the attack.
The bomber blew himself up near a NATO convoy on a busy road in the east of the capital that is frequently used by international troops.
Police say they arrested a second man with explosives and wires on his body at the bombing site.
(AFP, AP, Reuters)
The Afghan Insurgency
HOMEGROWN OR IMPORTED? As attacks against Afghan and international forces continue relentlessly, RFE/RL hosted a briefing to discuss the nature of the Afghan insurgency. The discussion featured Marvin Weinbaum, professor emeritus of political science at the University of Illinois at Urbana-Champaign, and RFE/RL Afghanistan analyst Amin Tarzi.
LISTEN
Listen to the entire briefing (about 83 minutes):