The shootings coincided with an increase in attacks by Kurdistan Workers Party (PKK) guerrillas in Turkey.
The villagers were collecting thyme when security forces opened fire at Hassa in Hatay province near the border with Syria, the agency said without specifying when the incident took place. Another villager was wounded.
"We are very sad and regretful at this incident," Hatay Governor Mehmet Celalettin Lekesiz was quoted as saying.
The nearby Mediterranean port of Iskenderun was the scene of a PKK rocket attack which killed six soldiers at the end of May.
Since then Kurdish separatists have launched attacks on a military post in southeastern Turkey and on a bus carrying military personnel in Istanbul.
More than 40,000 people have been killed in the conflict since the PKK took up arms against the state in 1984 with the aim of creating a Kurdish homeland in southeastern Turkey.
