PROBLEM TO BE SOLVED: To provide a fitting type concrete block which can be easily, beautifully and firmly stacked by anybody. SOLUTION: Projections and recesses are provided for fitting single concrete blocks 1, and a fitting part is tightly fitted even when a third block 1 is placed astride on the blocks 1. A hole to pass a reinforcing bar is opened in the center of the fitting part, and an end face of a block and a side surface of the other block 1 are flush with each other even when the direction is changed by 90 deg. like a corner or a buttress in a block fence, and a recessed part forming a joint is provided in each of twelve sides.