Machine for printing objects having outer surfaces to be printed, the machine including a frame, and at least two treatment units and a printing unit attached on the frame, the printing unit including at least one inkjet printhead suitable for ejecting inkjets along a printing direction, and a turret mounted rotating relative to the frame around a rotation axis, and including four object holders spaced regularly apart at 90° around the rotation axis, and suitable for holding the objects and rotating them around four object-holder axes perpendicular to the rotation axis, the turret being movable successively between four positions, at least one of the object holders being across from the printing unit in each of the positions, while two others of the object holders are across from the treatment units, the printing machine including a turret support with an adjustable incline around a pivot axis relative to the frame.