Illustrated and described is a grinding method for machining the surface of workpieces (6), in particular for machining external surfaces of workpieces (6), comprising the following steps: a) providing a grinding machine (1, 1') having a grinding tool (2, 2'), wherein the grinding tool (2, 2') is mounted so as to be rotatable about a grinding-tool axis (X2, X2'), b) providing at least two workpieces (6) to be machined, c) arranging the workpieces (6) on one of at least two workpiece carriers (5, 5', 5") of a workpiece-carrier unit (4), wherein the at least two workpiece carriers (5, 5', 5") are mounted so as each to be rotatable about a workpiece-carrier axis (X5), and wherein the workpiece-carrier unit (4) is mounted so as to be rotatable about a workpiece-carrier-unit axis (X4), and d) grinding the workpiece surfaces (8) of the workpieces (6), wherein the grinding tool (2, 2') rotates about the grinding-tool axis (X2, X2'), wherein the at least two workpiece carriers (5, 5', 5") each rotate about a workpiec