The invention provides several innovations relative to MVC thermal distillation methods and facilities in order to decrease their specific electricity consumption to values of only 2 to 4 kWh/m3 of distillate produced, as well as their manufacturing costs. The vapour transport system is reduced to its simplest expression and has a practically null total dynamic pressure loss. The compression system including the compressor motor) is completely integrated into the evaporator-condenser, installed in the inlet of the condensation zones, preferably provided with a system preventing overheating of the vapour, and driven at a high speed of rotation. Preferably, the auxiliary equipment is installed in the enclosure in a partial vacuum (hermetic chamber). According to one particular embodiment, the condensation zones have a section that decreases with the path of the vapour. The exchangers on the incoming and outgoing flows are supplied with continuously balanced heat loads. Heat losses are offset by auxiliary heating. Preferably, the facility can be made using a modular concept.