A device is provided for layered manufacture of at least a three-dimensional product by an additive manufacturing technique based on a powder. The invention therefore relates to a device for the layered manufacturer of a product based on a powder, in particular a metal powder.This device is fitted with a build chamber with a vertically movable build platform on which said product is manufactured and contains a powder dispenser for application of the successive powder layers on the build platform in a horizontal build surface. The powder dispenser can be moved back and forth over the build surface along a horizontal dispensing direction in order to apply said powder layers.Moreover, the device contains a hopper that must contain said powder in order to supply powder to the powder dispenser. This hopper has a bottom with a dosing opening that lets out into the build chamber and that works in combination with a dosing valve. More specifically, the dosing valve enables a measured quantity of powder to flow out of the hopper.