System to assist with maintaining the hovering of a helicopter, said system comprising at least: navigation means for determining the current position of the helicopter in flight relative to a terrestrial reference frame (R T); a helmet visualisation system comprising a helmet posture detection device, a helmet display incorporated into the helmet of the pilot of said helicopter and means for generating symbols displayed in said helmet display at fixed virtual positions relative to said terrestrial reference frame, said symbols being displayed when these are situated in the angular field of display of the helmet display; such that, when the helicopter should home or be maintained close to a predetermined position in said terrestrial reference frame, means for generating the symbols calculate a first representation comprising a first target and a second representation comprising a second target, said targets referenced in said terrestrial reference frame, the first target located in the direction of the homing course to the predetermined position the first representation comprises a first index corresponding to the homing course, the assistance system being characterised in that, the second target is located in a direction perpendicular to said homing course, the direction of the homing course and the direction perpendicular to said homing course being referenced relative to the current position of the helicopter, a single target being displayed at any time, as a function of the orientation of the helmet. and the second representation comprises a second index corresponding to a direction perpendicular to the homing course, the first representation and the second representation comprising, at the level of the first index and the second index, two perpendicular lines (LV, LH), the two lines intersecting at the centre of each index, the first line representing the horizon. navigation means for determining the current position of the helicopter in flight relative to a terrestrial reference frame (R T); a helmet visualisation system comprising a helmet posture detection device, a helmet display incorporated into the helmet of the pilot of said helicopter and means for generating symbols displayed in said helmet display at fixed virtual positions relative to said terrestrial reference frame, said symbols being displayed when these are situated in the angular field of display of the helmet display; such that, when the helicopter should home or be maintained close to a predetermined position in said terrestrial reference frame, means for generating the symbols calculate a first representation comprising a first target and a second representation comprising a second target, said targets referenced in said terrestrial reference frame, the first target located in the direction of the homing course to the predetermined position the first representation comprises a first index corresponding to the homing course, the assistance system being characterised in that, the second target is located in a direction perpendicular to said homing course, the direction of the homing course and the direction perpendicular to said homing course being referenced relative to the current position of the helicopter, a single target being displayed at any time, as a function of the orientation of the helmet. and the second representation comprises a second index corresponding to a direction perpendicular to the homing course, the first representation and the second representation comprising, at the level of the first index and the second index, two perpendicular lines (LV, LH), the two lines intersecting at the centre of each index, the first line representing the horizon.