A humerus head implant comprises a head cap and a fixing component, further comprising a bone-screw component. The head cap has a half-ellipsoid shape extending into positive direction of a z-axis, in positive and negative directions of an x-axis, and in positive and negative directions of a y-axis. The extension in the direction of the x-axis is in a range of 0.8 to 0.95 of the extension in y-direction. There is a conical recess having a center axis which is displaced in a negative y-direction with respect to the z-axis for interfacing with a conical section of the fixing component. This allows rotation of the head cap relative to the fixing component.