In order to suppress the distance measuring equipment (DME) impulse interference in the orthogonal frequency division multiplexing (OFDM) receiver of the L-band digital aviation communication system type 1 (L-DACS1), a blind beamforming method based on the OFDM symbol characteristics is proposed. The data received from the array antenna is firstly orthogonal projected to suppress the DME interference. Then, the interference-free data is used for beamforming. The weight of the beamforming is obtained by maximizing the Rayleigh quotient, using the delay repetition characteristics of the cyclic prefix for OFDM symbols, and no prior information, such as the direction of the desired OFDM signal, is required. Simulation results show that the proposed method can obtain a robust beam pattern, with the main lobe pointing to the direction of the OFDM signal. As a result, the signal-to-noise ratio (SNR) of the array output has been improved significantly. In addition, compared with the inner product maximization method, the proposed method performs better in low SNR environment. With the increase of the SNR, the performance difference between the two methods gradually decreases.