With iterative turbo decoding, the reliability of each bit in a frame converges at a different speed, i.e. some bits converge faster than others. This motivates us to propose a bit-level stopping scheme that prevents unnecessary iterations for those bits having already reached a satisfactory degree of reliability. Simulation results show that the proposed bit-level stopping can reduce up to 1/2 iteration when compare to the conventional frame-level stopping criteria while achieving the same bit error rate.