To ensure high accuracy and a wide measurement range for wind vector measurement based on ultrasonic sensors in mixed noise containing α and Gaussian noise， a novel FLOM-based dual-phase measurement method is proposed in this paper. First， the FLOM operator is used to suppress mixed noise containing α and Gaussian noise； this eliminates the shortcomings of the traditional second-order moment and high-order cumulant， which cannot be used for mixed noise containing α and Gaussian noise. Then， the time delay estimation method is transformed into the phase estimation method， and a FLOM-based dual-phase measurement method based on the orthogonality of the reference signals is proposed. This method effectively eliminates the influence of the amplitude variation on the measurement accuracy. The simulation results show that the measurement accuracy and measurement range of the proposed method are higher than those of the traditional time delay estimation method under wind speeds of 0-70 m/s. Even when the SNR is -10 dB， the RMSE of wind speed measurement is less than 1.5 m/s， and that of wind direction angle measurement is less than 2°. Practical application results show that the RMSEs of wind speed and wind direction angle measurement are 0.104 m/s and 0.54°， respectively， under strong winds. The proposed method can estimate the wind vector in mixed noise containing α and Gaussian noise more accurately than the time delay estimation method can.