the present invention provides a rigid modular holding with axial and radial compensation for multiple and universal application of all machining processes , engineering , machine building , and construction fields where ever applicable for rotary and static systems . design of modular holding includes male and female portions of joining parts machined to the required shape and clearances to accommodate modular locking rigidly with face butting . radial and axial run out adjustments is controlled by the grub screws and run out compensation can be achieved within micron . an area used for clamping and designed within the area of joining parts results reduction in material and processing cost . since , the material is not protruding out from the surface of the joining parts , esthetically looks good and convenient for designing multiple applications as it is not possible at present .