Abstract: Construction block units having spaced vertical bores with angularly disposed reduced rear access openings are assembled without mortar and have elongated rearwardly extending anchors with head ends received in the bores, the outer portions of adjacent converging anchors interengaging and supported so that the head ends extend vertically above a row of units for engagement by a second row of units to form a retaining wall. A freestanding wall is formed by parallel rows of facing block units interengaged by anchors having head ends at each end engaging angularly disposed bore openings in the facing offset units and supported so that the head ends extend into successive stacked staggered units.