The few-layer graphene, produced by exfoliation of graphite in 4-methylanisole, was noncovalently functionalized with the Ni(ii) complex of 5,7,12,14-tetramethyldibenzo-1,4,8,11-tetraazacyclotetradeca-3,5,7,10,12,14-hexaene (Ni(ii)-tetramethyldibenzotetraaza[14]annulene, or NiTMTAA), which is a simple model of more complex porphyrins and phthalocyanines. The resulting hybrid materials with different content of NiTMTAA were characterized by means of thermogravimetric analysis, scanning and transmission electron microscopy (SEM and TEM, respectively), atomic force microscopy (AFM), energy dispersive X-ray, Fourier-transform infrared (FTIR), Raman and UV-visible spectroscopy, as well as fluorescence and conductivity measurements. Additional information on the mechanisms of NiTMTAA interaction with graphene was obtained from density functional theory (DFT) and molecular mechanics (MM) calculations. Both experimental and theoretical results suggest that NiTMTAA forms a full double-sided adsorption layer on the graphene surface. The presence of NiTMTAA molecules in the hybrid materials obtained manifests itself in the appearance of characteristic bands in all types of electromagnetic spectra recorded; in FTIR, they are relatively weak as compared to graphene absorption bands, but dominate in Raman spectra. The morphology of the nanohybrids observed by SEM, TEM and AFM, as well as their electrical conductivity, depends on the NiTMTAA content. According to the results of DFT calculations of NiTMTAA adsorption on different graphene models, flat orientation of the complex with respect to graphene is energetically preferable, with a little difference depending on whether benzo or methyl groups contact the sheet.