An inverse shoulder prosthesis comprising a glenoid implant and a humerus implant, the glenoid implant having a glenoid body, with an articulating surface having a convex dome shape, the articulating surface defining a first right hand coordinate system having a first x-axis, a first y-axis, a first z-axis and a first point of origin, the first z-axis being a center axis of the glenoid body, the articulating surface extending into a positive direction of the first z-axis, in positive and negative directions of the first x-axis, and in positive and negative directions of the first y-axis, or the articulating surface oriented towards a humerus and the articulating surface having a base in an anterior-posterior and a lateral-medial direction, the articulating surface having a first radius in a plane defined by the first y-axis and the first z-axis,and a second radius in a plane defined by the first x-axis and the first z-axis, or the articulating surface having a first radius in a sagittal plane, and a second radius in a frontal plane, and the humerus implant having a humeral body (210, 212) and an inlay, having a concave shape, the inlay having a second coordinate system having a second x-axis, a second y-axis, a second z-axis and a second point of origin, the second z-axis being the center axis of the inlay, the inlay extending into a negative direction of the second z-axis, or the concave inlay having a center axis oriented towards a glenoid of a shoulder, and the inlay having a concave shape and a base in an anterior-posterior direction and a craniocaudally direction, the inlay having an inner radius, characterized in that the second radius is in a range of 0.8 to 0.95 times of the first radius and the first radius is smaller than the inner radius of the inlay. the glenoid implant having a glenoid body, with an articulating surface having a convex dome shape, the articulating surface defining a first right hand coordinate system having a first x-axis, a first y-axis, a first z-axis and a first point of origin, the first z-axis being a center axis of the glenoid body, the articulating surface extending into a positive direction of the first z-axis, in positive and negative directions of the first x-axis, and in positive and negative directions of the first y-axis, or the articulating surface oriented towards a humerus and the articulating surface having a base in an anterior-posterior and a lateral-medial direction, the articulating surface having a first radius in a plane defined by the first y-axis and the first z-axis,and a second radius in a plane defined by the first x-axis and the first z-axis, or the articulating surface having a first radius in a sagittal plane, and a second radius in a frontal plane, and the humerus implant having a humeral body (210, 212) and an inlay, having a concave shape, the inlay having a second coordinate system having a second x-axis, a second y-axis, a second z-axis and a second point of origin, the second z-axis being the center axis of the inlay, the inlay extending into a negative direction of the second z-axis, or the concave inlay having a center axis oriented towards a glenoid of a shoulder, and the inlay having a concave shape and a base in an anterior-posterior direction and a craniocaudally direction, the inlay having an inner radius, characterized in that the second radius is in a range of 0.8 to 0.95 times of the first radius and the first radius is smaller than the inner radius of the inlay.