There are disclosed embodiments for an ultrasound system for performing vessel labeling. The ultrasound system comprises: an ultrasound data acquisition unit configured to transmit an ultrasound signal to a target object including vessels, receive an ultrasound echo signal reflected from the target object and form ultrasound data corresponding to the target object a volume data forming unit configured to form volume data based on the ultrasound data and a processor configured to form a 3-dimensional ultrasound image based on the volume data, perform vessel segmentation on the 3-dimensional ultrasound image to provide at least one segmented image including at least one segmented vessel, detect at least one vessel junction from the at least one segmented vessel and perform vessel labeling on the at least one segmented image based on the detected at least one vessel junction.