Mechanism for moving a furniture item door with an upward-tilting opening, the mechanism being contained in a box having two half-shells, and including a hinge with five points (P1, P2, P3,P4, P5), having three levers (L1, L2, L3), the levers (L1, L2) are articulated one with the other at the fulcrum point (P2), arranged in one of their intermediate zones, lever (L2) is articulated at one of its end in the fulcrum point (P3) to one end of the lever (L3), the other end is articulated to the door in the point (P4), one end of lever (L1) is articulated to the door at the point (P5), while the other end of lever (L1) carries a pin sliding in a track formed in the box, lever (L2) being likewise articulated to the box in the fulcrum point (P1), around which it rotates during the movement of the door.