To provide a two-piece cable tie including a support of a locking device which changes from a cantilever beam to a simple beam support when completely coupled.

The cable tie includes a strap 104 with a first end and a free end 138, a locking head having a strap accepting channel 122, and a metal locking device 136 having a mounted end fixed to a support of a locking head and a free end positioned in the strap accepting channel to form a cantilever beam and mounted within an anchoring housing region of the head. It has a central inwardly projecting groove 110 of a predefined width that defines a thinned portion extending along a longitudinal axis of the strap to the free end of the strap. The strap accepting channel has a channel width defined between an end wall and an inner wall. A ledge 116 that provides a support surface of the metal locking device and a V-shaped groove at the free end to improve flexibility of the strap are provided.