Our work deals with the use of visual servoing strategy to control the motions of an ultrasound (US) probe mounted on a robotic arm in an eye-in-hand con guration. The aim is to automatically position the probe on a desired anatomic cross-section or to stabilize a desired US image while compensating physiological motions of the patient. Two di fferent approaches are described and validated in simulation environment. First a geometric approach is proposed where six visual features are built from 2D image moments extracted from three orthogonal images. The interaction matrix associated to these features is modeled and allows the control of both in-plane and out-of-plane motions of the probe for positioning tasks. Nevertheless, the effi ciency...