"A non-commissioned officer paid with his life for the commitment of France to the peace and security of the Afghan people and an officer was very gravely wounded," the statement said.
Alasay valley had seen fighting last year between fighters and French troops under US-led Nato command.
Nato and the US have 113,000 troops in Afghanistan fighting al-Qaeda and Taliban-led fighters, who are aiming to overthrow the government.
Foreign troops have been in Afghanistan since 2001 when the US and UK invaded the country in order to remove the Taliban, who were accused of harbouring al-Qaeda operatives, from power.
But Taliban and al-Qaeda have both regrouped since then and continue to launch attacks.
Barack Obama, the US president, is sending in 30,000 extra troops as part of his new war strategy, to try to turn the tide.
Other Nato countries are sending thousands more as well, although some are scaling down.