Embodiments for adaptively performing clutter filtering upon in an ultrasound system are disclosed. In one embodiment, the ultrasound system includes: an ultrasound data acquisition unit configured to transmit ultrasound signals to a target object and receive ultrasound echoes reflected from the target object to thereby acquire ultrasound data; and a processing unit configured to form a Doppler signal corresponding to each of a plurality of pixels constructing a Doppler mode image based on the ultrasound data, as well as to adjust coefficients of a clutter filter based on characteristics of the Doppler signal for each of the pixels for performing clutter filtering upon the Doppler signal.