A pull down bed comprising: a cabinet, which is provided with a bed compartment, a plate-shaped bed frame, which is adapted to support a mattress and is hinged on the cabinet so that it can rotate about a first axis, between a raised position in which the bed frame is substantially vertical and is lodged inside said bed compartment, and a lowered position in which the bed frame is substantially horizontal, at least partially outside said bed compartment, at least one leg, which is hinged onto the bed frame so that it can rotate about a second axis, and a synchronization mechanism which is structured so as to synchronize the rotation of the leg between a first operating position and a second operating position with the rotation of the bed frame between said lowered position and said raised position, respectively, in said first operating position, said leg extends cantilevered below the lying plane of the bed frame so as to be arranged resting on the ground, in said second operating position, said leg protrudes cantilevered from the bed frame so as to be transverse to the lying plane of the bed frame so as to thus be lodged/contained inside the bed compartment, wherein said synchronization mechanism comprises: a control rod, which is coupled in axially slidable manner to the bed frame, so as to be able to slide back and forth along a side of the bed frame; and a first swinging arm, which is interposed between the cabinet and the control rod; and a second swinging arm, which is interposed between the leg and the control rod; wherein said control rod is adapted to synchronize the movement of the second swinging arm with the movement of the first swinging arm, so as to synchronize the rotation of the bed frame between the lowered position and the raised position with the rotation of the leg between said first and said second operating positions, wherein the second swinging arm has a first end pivotally jointed to the leg, in a position eccentric to the second axis, so as to be able to rotate/swing about a fourth axis locally substantially parallel to said second axis, and wherein the second swinging arm has a second end, opposite the first, pivotally jointed to the distal end of said control rod. a cabinet, which is provided with a bed compartment, a plate-shaped bed frame, which is adapted to support a mattress and is hinged on the cabinet so that it can rotate about a first axis, between a raised position in which the bed frame is substantially vertical and is lodged inside said bed compartment, and a lowered position in which the bed frame is substantially horizontal, at least partially outside said bed compartment, at least one leg, which is hinged onto the bed frame so that it can rotate about a second axis, and a synchronization mechanism which is structured so as to synchronize the rotation of the leg between a first operating position and a second operating position with the rotation of the bed frame between said lowered position and said raised position, respectively, in said first operating position, said leg extends cantilevered below the lying plane of the bed frame so as to be arranged resting on the ground, in said second operating position, said leg protrudes cantilevered from the bed frame so as to be transverse to the lying plane of the bed frame so as to thus be lodged/contained inside the bed compartment, wherein said synchronization mechanism comprises: a control rod, which is coupled in axially slidable manner to the bed frame, so as to be able to slide back and forth along a side of the bed frame; and a first swinging arm, which is interposed between the cabinet and the control rod; and a second swinging arm, which is interposed between the leg and the control rod; wherein said control rod is adapted to synchronize the movement of the second swinging arm with the movement of the first swinging arm, so as to synchronize the rotation of the bed frame between the lowered position and the raised position with the rotation of the leg between said first and said second operating positions, wherein the second swinging arm has a first end pivotally jointed to the leg, in a position eccentric to the second axis, so as to be able to rotate/swing about a fourth axis locally substantially parallel to said second axis, and wherein the second swinging arm has a second end, opposite the first, pivotally jointed to the distal end of said control rod.