Abstract: The progressively movable holding device comprises two link plate chains (2, 3) which can be separately tightened and loosened in respect to each other and to the workpiece (1) they hold and which are guided by articulated adjusting members (4) at movable distance from each other, wherein the link plate chains (2, 3) are constructed in a mechanical assembly technique easily adaptable to the dimensions of the workpieces (1) by changing the numbers of link plates (5, 6) and which also allow the circulation on a rail section (26) integrally formed on one of the link plate chains (2, 3) of a bracket-type carriage (10) which can serve both as working platform and as implement carrier, for instance, for sandblast pistols. By means of a control and locking device and energy supply designed according to the task to be performed, the holding device can be reversed progressively and by remote control across its main direction and is also easily adaptable to changes in the contour of the workpiece.