Recently, there has been increasing interest in providing high quality and efficient broadband services over wireless and mobile links. Space-time code is designed to exploit multiple-input multiple-output antenna systems and by doing so an enormous increase in the capacity of wireless systems can be achieved. In this letter, a synchronization technique is proposed to improve the performance of multiple-input multiple-output system. The interpolation method is employed to estimate the coarse and fine frequency offset at the same time without additional complexity.