Abstract: A method of constructing a concrete block wall of concrete blocks each having one or more vertical openings includes the steps of the layering the blocks one upon the other in positions that generally align the vertical openings to initiate formation of the wall and placing a first reinforcing bar through the aligned openings, the first bar having a diameter, the lower end of the bar being anchored at a lower portion of the wall. A connector is placed on the upper end of the first bar, the connector having upper and lower end portions, a central longitudinal open ended bore and at least one reduced diameter section that extends inwardly from the interior surface of the connector wall. Additional layers of concrete blocks can then be added to the wall in positions that generally align the block openings of the added blocks with the first bar.