The invention relates to the technical field of bearing assemblies, in particular to an aligning thrust bearing assembly. The aligning thrust bearing assembly can be distributed on a cylinder flange of a hydraulic cylinder so as to compensate for installation precision in the operating process. When the hydraulic cylinder operates, in case of inconformity of stress of the hydraulic cylinder and the axis caused by installation precision and the like, a cylinder body flat flange can be rotated along the SR3000 spherical surface, a gap of 2-3 mm is reserved for an aligning bearing in the perpendicular direction, accordingly, it is calculated that the hydraulic cylinder can swing by 0.15 degree, and therefore the self-aligning purpose is achieved.