The invention relates to a ghost wave suppression method based on frequency spectrum reconstruction. The ghost wave pressing method based on the frequency spectrum reconstruction is characterized by comprising the following steps that (1) original earthquake data are subjected to two-dimensional fourier transform, the earthquake data in f-k domain are obtained, the earthquake data in the f-k domain are subjected to inverse filtering of ghost wave by using a self-adaptive parameter estimation method, and trapped wave zone of the ghost wave is located; (2) according to the location in the step (1), frequency component other than result location of the inverse filtering of the ghost wave is used as effective value, iteration is carried out by using curvelet transform and convex set projectionalgorithm, and frequency spectrum in the trapped wave zone is reconstructed; and (3) the frequency spectrum after reconstruction is subjected to two-dimensional fourier transform, and is transformedto time-space domain, and a suppression result of the ghost wave is obtained. The ghost wave suppression method based on the frequency spectrum reconstruction can be widely used in the field of ghostwave pressing in the earthquake data.