A method for locating objects using an FMCW radar in which a ramp-shaped frequency-modulated radar signal is transmitted whose modulation pattern has a plurality of successive ramps having different gradients, received radar echoes are mixed down with the transmitted signal into a baseband, the baseband signal is recorded ramp-by-ramp and transformed into a respective spectrum, for each signal peak found in the spectrum, a noise estimation is carried out in order to distinguish between radar targets and noise or clutter, and by comparing the frequency positions of the mutually corresponding signal peaks in the spectra obtained for various ramp gradients, the distances and relative velocities of the radar targets are determined.