Abstract: The present invention generally relates to biofabrication technology and, more particularly, to systems and methods for manufacturing three-dimensional constructs made of various materials using scaffold-free, nozzle-free and label-free magnetic levitation in non-toxic paramagnetic medium. The essence of the method consists of rapid levitational assembly in the construct's heterogenous magnetic field from various materials, such as, for example, tissue spheroids, single-cell suspension, microorganisms, peptides, potassium phosphate granules, which are chaotically distributed in the volume of culture medium. The construct is formed in a specific area where a magnetic trap is formed as a result of the combined forces of gravitational and magnetic fields. In this area, the gravitational pull is compensated and particles of material are forced together.