A heald shaft coupling (1) for connecting a heald shaft (11) with a shaft drive is described and claimed, having the following features: a) the heald shaft coupling (1) comprises two coupling elements (2, 3), of which the first (2) is connectable with the heald shaft (11) and the second (3) with the shaft drive, b) the coupling elements (2, 3) are releasably connectable with each other via a relative movement between them, which takes place essentially in the shaft's direction of movement (z), c) at least one of the two coupling elements (2, 3) has a snap-in member (4) extending essentially in the direction of movement (z) of the heald shaft (11), d) the snap-in member (4) has a clamping surface (5) that extends additionally in at least one of the two spatial directions (x, y) running at right angles to the direction of movement (z) of the shaft, e) the other coupling element (2, 3) has at least one clamping element (8) for engagement with the clamping surface (5), the fact that f) the at least one snap-in member (4) is heterogeneous being considered as novel and inventive. In addition, a heald shaft 11 is described and claimed, which features a coupling element (2, 3) with a snap-in element (4) of such kind.