A valve for gases, liquids or powdery material, comprises a diaphragm shutter element having a central part and a peripheral edge connected, respectively, to a central support and to a peripheral support. Said supports can be displaced axially with respect to one another between a first relative end position and a second relative end position corresponding, respectively, to the open condition and to the closed condition of the valve, or vice versa. The relative displacement in the axial direction of said first and second supports is controlled by shape-memory means, preferably formed by a first shape-memory wire and a second shape-memory wire set on the two opposite faces of the diaphragm shutter element.