Assembly (1, 101, 301) for constructing a wall (2, 102, 302) comprising building blocks (3, 103, 303, 503) and support blocks (5, 105, 305, 405), wherein each of the building blocks (3, 103, 303, 503) comprises opposite first and second faces (F1, F2), both of the faces comprising a plurality of recesses (7, 107, 307) arranged spaced from each other; wherein each support block (5, 105, 305, 405) comprises a body (9, 109, 309, 409) and a plurality of protrusions (11, 111, 311, 411) extending from opposite top and bottom sides of the body (9, 109, 309, 409); wherein the recesses (7, 107, 307, 507) and protrusions (11, 111, 311, 411) are arranged in a matching pattern, wherein alternating layers of building blocks and support blocks are stackable on top of each other such that the protrusions (11, 111, 311, 411) in one layer are accommodated in the recesses (7, 107, 307, 507) of the adjacent layer, and relative movement of the respective blocks (S, B) in two mutually perpendicular directions generally parallel to the layers (S, B) is restricted, characterized in that each recess (7, 107, 307) of the plurality of recesses comprises a recess support structure (8, 108, 308) and each protrusion (11, 111, 311, 411) of the plurality of protrusions comprises a protrusion support structure (13, 113, 313, 441)and the respective support structures (8, 13, 108, 113, 308, 313, 441) engage each other and position and support the respective higher block (B; S) on the respective lower block (S; B), wherein at least some of the recesses (7, 107) have a shape, in a cross section generally parallel to the first face and/or second face, that is at least one of circular, annular, cylindrical, and elongated slot shaped in the respective face (F1, F2), having a relatively large size, i.e. being relatively long, in a longitudinal direction ( l) and a relatively small size, i.e. being relatively short in a transverse direction ( w) perpendicular to the longitudinal direction ( l); and/or at least some of the protrusions (11, 111, 311, 411) have a shape, in a cross section generally parallel to the first side and/or second side of a support block (5, 105, 305, 405) that is at least one of hollow, circular, annular, and cylindrical. wherein each of the building blocks (3, 103, 303, 503) comprises opposite first and second faces (F1, F2), both of the faces comprising a plurality of recesses (7, 107, 307) arranged spaced from each other; wherein each support block (5, 105, 305, 405) comprises a body (9, 109, 309, 409) and a plurality of protrusions (11, 111, 311, 411) extending from opposite top and bottom sides of the body (9, 109, 309, 409); wherein the recesses (7, 107, 307, 507) and protrusions (11, 111, 311, 411) are arranged in a matching pattern, wherein alternating layers of building blocks and support blocks are stackable on top of each other such that the protrusions (11, 111, 311, 411) in one layer are accommodated in the recesses (7, 107, 307, 507) of the adjacent layer, and relative movement of the respective blocks (S, B) in two mutually perpendicular directions generally parallel to the layers (S, B) is restricted, the protrusions (11, 111, 311, 411) in one layer are accommodated in the recesses (7, 107, 307, 507) of the adjacent layer, and relative movement of the respective blocks (S, B) in two mutually perpendicular directions generally parallel to the layers (S, B) is restricted, each recess (7, 107, 307) of the plurality of recesses comprises a recess support structure (8, 108, 308) and each protrusion (11, 111, 311, 411) of the plurality of protrusions comprises a protrusion support structure (13, 113, 313, 441)and the respective support structures (8, 13, 108, 113, 308, 313, 441) engage each other and position and support the respective higher block (B; S) on the respective lower block (S; B), wherein at least some of the recesses (7, 107) have a shape, in a cross section generally parallel to the first face and/or second face, that is at least one of circular, annular, cylindrical, and elongated slot shaped in the respective face (F1, F2), having a relatively large size, i.e. being relatively long, in a longitudinal direction ( l) and a relatively small size, i.e. being relatively short in a transverse direction ( w) perpendicular to the longitudinal direction ( l); and/or at least some of the protrusions (11, 111, 311, 411) have a shape, in a cross section generally parallel to the first side and/or second side of a support block (5, 105, 305, 405) that is at least one of hollow, circular, annular, and cylindrical.