Development of a distributed system of the neutron monitors is required to estimate the neutron spectra and monitor the neutron fields in the CMS experimental cavern. The proposed neutron monitor is based on the 6Li-enriched scintillator coupled to SiPM. During LHC Run 2, several monitor samples were successfully commissioned at the CERN laboratory and tested in CMS environment with the set of Bonner spheres. To rescale collected data to the absolute value of the neutron flux the same SiPM-based monitor samples with the set of Bonner spheres were calibrated at the CERN Radiation Protection calibration facility using Am-Be source. Afterwards, monitor readings measured in the CMS radiation field can be deconvoluted to the neutron spectrum by means of the unfolding procedure.