The news agency quoted on Saturday a security source as saying the two Kuwaitis were captured when police, backed by helicopters, raided a house in the al-Andalus area of the oil-rich Gulf Arab state.
The source did not name the two or say if they were suspected of involvement in violence.
Kuwait has since 10 January been locked in an unprecedented battle against insurgents who authorities say were planning to attack American civilians living in Kuwait and members of the US military serving in the capital or on their way to Iraq. Kuwait's state security apparatus was also a target, according to the authorities.
Four policemen and eight suspected insurgents have been killed in clashes around the country. The alleged leader of the group, Amir al-Inizi, died of a heart attack while in custody.