An all-digital calibration technique for time-interleaved ADC(TIADC) timing mismatch is proposed in this paper. The calibration technique is based on a direction correction-based technique for TIADCs. The proposed method uses Least Mean Squares (LMS) Iteration to gradually estimate and the compensation algorithmfocuses on third-order Tayler series expansion. Different from conventional calibration architecture, the proposed method introduces a corrective technique addressing calibration direction, which may be wrong when the frequency of the input signal does not satisfy the Nyquist sampling theorem of the sub-ADC. The bandwidth of the input signal stands to be broadened when integrated with the proposed calibration algorithm.