Device for anchoring a ventricular assist system in a blood vessel, which device can assume an insertion state for inserting the ventricular assist system into the blood vessel, and an anchoring state for anchoring the ventricular assist system in the blood vessel, and which comprises a securing means for securing to the ventricular assist system, as well as an annular crown, the diameter of which is increased during a transition of the device from the insertion state to the anchoring state in order to anchor the ventricular assist system in the blood vessel, the device for anchoring the ventricular assist system having a connection means which is designed to connect the crown to the securing means, and which contains a plurality of bending struts which are designed to fold out, during a transition from the insertion state to the anchoring state, by movement of a sleeve arranged so as to be movable in the catheter relative to the crown, in order to allow the crown to be unfurled, the bending struts each having a first end which is fastened to the securing means, characterized in that the annular crown comprises a plurality of unfurling elements which are designed for unfurling during a transition of the device from the insertion state to the anchoring state in order to increase the diameter of the crown, each unfurling element comprising two unfurling rods connected at the ends thereof, the unfurling rods of each unfurling element, in a central portion lying on a circular path, each being connected to an unfurling rod of an unfurling element arranged adjacent to the unfurling element in a central portion lying on a circular path, in each case two adjacent unfurling rods having a smaller distance from one another in the insertion state of the device than in the anchoring state of the device, the bending struts each having a second end which is connected to a connection point of two adjacent unfurling rods or to an end, remote from the securing means, of two unfurling rods of the crown which are interconnected at this end, and the sleeve arranged so as to be movable in the catheter relative to the crown being designed to enclose the crown in the insertion state of the device for anchoring the ventricular assist system and to release it to initiate the transition into the anchoring state. the annular crown comprises a plurality of unfurling elements which are designed for unfurling during a transition of the device from the insertion state to the anchoring state in order to increase the diameter of the crown, each unfurling element comprising two unfurling rods connected at the ends thereof, the unfurling rods of each unfurling element, in a central portion lying on a circular path, each being connected to an unfurling rod of an unfurling element arranged adjacent to the unfurling element in a central portion lying on a circular path, in each case two adjacent unfurling rods having a smaller distance from one another in the insertion state of the device than in the anchoring state of the device, the bending struts each having a second end which is connected to a connection point of two adjacent unfurling rods or to an end, remote from the securing means, of two unfurling rods of the crown which are interconnected at this end, and the sleeve arranged so as to be movable in the catheter relative to the crown being designed to enclose the crown in the insertion state of the device for anchoring the ventricular assist system and to release it to initiate the transition into the anchoring state.