A mobile 3D printing device, system and method based on the addition of material intended to be attached to a lifting device with a single lifting cable or chain, including a printing head adapted to receive material and depositing it; fixing means adapted to link the printing head to the lifting device, and stabilization means adapted to stabilize the position of the printing head by a gyroscopic effect. The printing device enables the control of the printing of a structure to be printed, in particular the position of the printing head, to reduce the labor costs and the time to install such a device on a standard crane provided with a hook.