Field equations in the presence of cosmic string source are obtained in Barber’s  (Gen. Relativ. Gravit.14 : 117, 1982) second self-creation theory of gravitation with the aid of Bianchi Type VI0 metric. An exact string cosmological models are presented which represents Reddy string  (Astrophys. Space Sci. 286, 2003b) in self-creation theory. Some physical and kinematical properties of the models are also discussed.