Nowadays, one of the major environmental issues is a solid waste. Agro-industrial waste is of a particular importance because it negatively influences on the environment if isn’t properly managed. Tobacco waste and olive pomace are categorized as agro-industrial waste, which contain considerable amount of organic matter, high concentration of nicotine and phenols and therefore they can’t be disposed of in landfills without treatment. Also, mentioned wastes contain high concentrations of complex molecules such lignin, cellulose and hemicelluloses, and therefore they are classified as lignocellulosic waste. Agroindustrial and lignocellulosic waste can be treated by composting process. During the composting process, biodegradable organic matter is converted to the stable product-compost, along with the production of CO2, NH3, water and releasing heat. In this work a biodegradability of lignocellulosic waste, tobacco waste and olive pomace, by composting process without (P1) and with (P2) inoculation of microorganisms was examined. In order to select microorganisms, previous biodegradation experiments of lignocellulosic waste with inoculation of different cultures of microorganisms such as Phanerochaete chrysosporium, Trichoderma reesei, Pseudomonas aeruginosa FN, Candida rugosa, Aspergillus fumigatus and actinomycetes were conducted. Results of FTIR analysis showed that fungal cells of P. chrysosporium and T. reesei have efficiently degraded lignocellulosic components and therefore they were inoculated in the composting experiment. Composting processes were conducted in a closed thermally insulated column reactor of an effective volume of 10 dm^3 and forced aeration during 28 days. The results of composting exp. in P2 show that the inoculated microorganisms have increased rate of biodegradation and the thermophilic phase has been achieved 24 h earlier and lasts six days longer than in exp. P1. The obtained conversion during process in P1 and P2 was 45 % and 35 %, respectively, and the mass of evolved carbon dioxide was 123 g kgVS0^-1 CO2, and 118 g kgVS0^-1 CO2, respectively. The FTIR analysis shows that in both processes a degradation of complex molecules was occured.