  The CUPID-0 detector hosted at the Laboratori Nazionali del Gran Sasso,
Italy, is the first large array of enriched scintillating cryogenic detectors
for the investigation of $^{82}$Se neutrinoless double-beta decay
(0$\nu\beta\beta$). CUPID-0 aims at measuring a background index in the region
of interest (RoI) for 0$\nu\beta\beta$ at the level of 10$^{-3}$ c/keV/kg/y,
the lowest value ever measured using cryogenic detectors. This result can be
achieved by a state of the art technology for background suppression and
thorough protocols and procedures for detector preparation and construction. In
this paper, the different phases of the detector design and construction will
be presented, from the material selection (for the absorber production) to the
new and innovative detector structure. The successful construction of the
detector lead to promising detector performance which are here preliminarily
discussed
