a masonry block and hardware set for constructing dry stack walls and columns , including a wall unit , a corner unit , and an end unit , wherein each of the wall , corner , and end units have a top surface with a depression that is brought into substantial alignment when an adjoining block at the same level or in the same course is abutted with the respective unit , and further wherein when any two of the units are adjoined , the units create a vertically oriented space for accommodated clamping hardware , and further wherein each of the end and corner units include an alignment slot to align the end units and the corner units in relation to adjoining wall units . clamping hardware is employed to bolt the wall while construction proceeds , the hardware being disposed in the masonry unit depressions and in the vertically oriented space created by stacked units . the clamping provides a downwardly directed compressive force and lateral rigidity .