An axial piston machine of swash plate design includes cylinder bores with respective longitudinal axes that are arranged at an acute angle with the rotational axis and that approach the rotational axis radially in the direction of their control plate-side ends. For each cylinder bore, a point of action of a resulting hydrostatic relieving force, which acts on the cylinder barrel, of the hydrostatic sliding bearing is spaced apart radially with regard to the rotational axis of the cylinder barrel further than a point of intersection of the longitudinal axis of the cylinder bore with the cylinder barrel-side bearing face of the hydrostatic sliding bearing.