The service members died in southern Afghanistan, the US-led coalition in Afghanistan said in a brief statement that provided no other information.
In another attack in the south of the country, a roadside bomb in the Shah Wali Kot district of Kandahar province killed three civilians and wounded five, said Jawed Faisal, a spokesman for the provincial governor.
The Taliban and other insurgent groups make heavy use of roadside bombs. They are among the deadliest weapons in the Afghan war for civilians.
Commander Miran and his driver were killed and two other police officers were wounded when the car they were driving toward Kunduz City was destroyed by a bomb hidden on the road, said Nazar. Like many Afghans, Miran only used one name.
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The attacks came on the third day of what Taliban has called its spring offensive. The insurgents warned they would infiltrate enemy ranks to conduct "insider attacks" and target military and diplomatic sites with suicide bombers.
Today, Afghan and coalition security forces arrested two Taliban insurgents in Logar province, and yesterday Afghan security forces rushed to the assistance of local police under attack in Ghazni province and killed three insurgents and wounded four, NATO said in a statement.