Analog-to-Digital Converters (ADCs) represent a main bottleneck for realizing highspeed telecommunication systems such as cognitive radio and Software-Defined Radio (SDR) systems in addition to various requirements of transmission quality. Time-interleaved A-D converter (TI-ADC) may be considered as an effective candidate to achieve high-speed ADC with relatively slow circuits accounting for digital spectrum management. However, mismatch errors cause a considerable degradation in the performance of TI-ADC. In this paper an adaptive compensation technique is proposed for improving the overall performance in presence of offset and gain mismatches. The proposed structure behaves independent from input signal. Here, Least- Mean-Squares (LMS) algorithm has been exploited to adaptively estimate and correct mismatch errors. The Proposed correction method is structurally very simple and hence suitable for implementation on integrated circuits. Besides, proposed digital compensation algorithm is computationally efficient. Considering a four-channel TI-ADC, the proposed compensated TIADC provides an approximate improvement of 33.2dB in the performance compared to uncompensated architecture. The proposed compensated TI-ADC would be an efficient high speed ADC in most RF communication applications, and especially applications that deal with tuned frequency.