Abstract: The invention concerns a modular wall or double wall element (S) for dry assembly characterized in that some at least (1a, 1b, 31a, 31b) of its faces arranged to co-operate with adjacent modular elements have contact parts (2a, 2b; 32a, 32a, ′ 32b, 32b′) designed to be pressed against said adjacent modular elements, and separating parts (3a, 3a′, 3b, 3b′ 33a′, 33b) arranged to remain separated by a clearance of said adjacent modular elements, said clearance being sufficiently large to limit, even eliminate, infiltration of water by capillary action. The invention is applicable to the field of construction building.