Dozens of other Taliban militants were injured but Afghan security forces were unscathed, the Khaama Press reported.
Security fores also seized at least 25 improvised explosive devices.
The forces launched the operation to clear militants from the area amid growing concern from residents about the growth of militant activities, officials said.
The operations were launched in Nad-e-Ali, Nawa and Marjah districts, Khaama Press reported.
Celebrity Families of 2014 [PHOTOS]