Fast and wide-scale spreading of the image data on the Internet creates great opportunities for illegal access by the different kinds of intruders. In order to solve the problem of intellectual property protection, digital image watermarking can be successfully used. We describe a new method of digital watermarking based on the embedding of the local maxima into the Fourier transform area of the image. Simulation results are presented, which confirm that the proposed method is resistant to cyclic shifts, row and column removal, cropping, addition of noise, rotation and JPEG transforms.