In order to adapt to the new 60GHz WiFi on frequency synchronization requirements,this paper presents a linear regression offset estimation (LROE) algorithm based on IEEE802.11ad-2012- amendment system . T he algorithm cross - correlate s the received preamble sequences with the local sequence s ,and then extract s the phase angle of the cross - correlation value to estimate the frequency offset by using the linear regression calculatio n.In the Gaussian channel and multipath channel, the algorithm performance of anti - noise and anti - multipath is analyzed in theory.In the multipath channel simulation, its accuracy of the estimation is beyond the traditional auto- correlation algorithm by three orders of magnitude,and it satisfies the accurate requirements in the frequency estimation system. In the whole sys tem simulation, compared with the traditional auto - correlation algorithm and the LROE algorithm ,the performance of the BER is studied,and a no frequency offset control group simulation is set up for comparison.The bit error rate of the L ROE algorithm is obvious ly better than the traditional auto - correlation algorithm . Simulation results show that the LROE algorithm eliminate s the frequency offset of the bit error rate of the system, and its performance has achieved no frequen cy offset . The frequency offset synchronization requirement of t he whole 60GHz system is realized by the LROE algorithm.