A construction block comprising: two or more support members each of which has a first face and a second face opposite the first face and comprises a hollow between the first and second faces, said hollow having openings facing in a direction transverse to a direction normal to the first and second faces, said opening configured for receiving at least a portion of a tenon element allowing two such construction blocks to be assembled; a frame arrangement connecting the support members to each other, said frame arrangement having external segment(s) extending from at least one of the first and second faces in a direction away from the hollow; a first panel conterminous with the first faces; and a second panel conterminous with the second faces; wherein at least a portion of the external segment of the frame arrangement is contained within one of the first and second panels.