A modular container or irrigation module, as well as a modular irrigation system obtained by arranging at least two of said modules. The proposed modular irrigation system comprises at least two irrigation modules of the invention, and by stacking the modules vertically, the system can be used to form a continuous-flow irrigation system in which excess irrigation water is recirculated and evaporation losses can be minimized. Similarly, the module and the system of the invention can be used to form a sustainable construction system in which multiple irrigation systems are arranged to form various architectural elements, such as green walls, green columns, vertical gardens and the like.