A toy construction block kit is disclosed. The basic unit of the toy construction block unit has three basic sides, with two side walls and a connecting wall. Each of the two side walls have ‘tongues” extending from their interior sides. The back connecting wall has means for reversibly capturing the tongues. The construction block units have two tongues that stick out from opposing walls, and a distal part which contains a double receiving clip. As each construction block unit has the two tongues and a double receiving clip, when two blocks are pushed together, they double lock. The construction block unit can be attached to one or more other construction block units, or could be attached to a blank cube.