A method and device are provided for measuring distance and relative speed of a plurality of objects with the aid of an FMCW radar, transmitted signals being reflected by objects, and the reflected signals being received and mixed with the transmitted signals. A combination of distance and relative speed values is assigned to the mixer output frequencies of each frequency ramp for each object, and the distance and relative speed of a possible object are determined from points of intersection of a plurality of distance and relative speed combinations. The apparent (unreal) objects are eliminated by modifying the frequency slope of at least one frequency ramp according to the random principle in a subsequent measurement cycle.