A method for acoustic, particularly ultrasonic receive beamforming, especially designed for ultrasonic imaging, including the steps of transmitting, through an array of transmitting electroacoustic transducers, at least one beam of acoustic waves into one body under examination, which waves are transmitted at a first transmission frequency; receiving the acoustic waves reflected by the body under examination through an array of receiving electroacoustic transducers; synchronizing the signals received from each transducer by applying receive delays to the various receive signals from the different transducers; summing the synchronized signals from the different transducers; separating, from the receive signals, the component having a second frequency different from the transmission frequency, particularly the frequency of an even harmonic of the transmission frequency; transforming the sum signals at a harmonic , especially the second harmonic, of the transmission frequency, into image data of the structure of the body under examination, to be displayed by display means. According to the invention, delays are also determined as a function of the frequency of the receive signal that is selected for image construction, and as a linear or non linear function of the position of the receiving transducers in the array of receiving transducers.