Boxes made from the corrugated board for packing the fruit and vegetables meet very changeable weather conditions on their distribution way from the producer to the consumer. Longer stay in different cold storage plants during the transport and storage as well as the short exposition to the outer atmospheric conditions during the reloading is understood under the distribution way. In the cold storage plants, for preserving the quality and the quantity of the fruit and vegetable, there are defined conditions of temperature and humidity while in the outer environment they vary. The exposition to these changes has an unfavourable influence on the mechanical properties of the corrugated board and the consequence is the considerably decrease of the boxes lifespan. The aim of this investigation is to develop the model for prediction the box strength on the compression load, based on the conditioned state of relative humidity and the temperature in the environment. As the weight and the quality of fruit and vegetables is the primary care in the agricultural industry, the packaging is necessary expense which must survive in the given conditions with minimal costs. The aim is to find out the information which will determine the lower boundary of the corrugated box quality and the minimal possibility of its breakdown. Six qualities of the double – wall corrugated board with different composition of paper layers of different grammage were investigated. The papers used for the production of the corrugated board and the boxes produced from that corrugated board were investigated. The grammage, the thickness, the burst resistance per Mullen, the resistance of the horizontal surface of the corrugated board to compression strength, the resistance of the vertical surface of the corrugated board to compression strength, the humidity content in the corrugated board, the resistance of the corrugated board to dynamic penetration, the resistance of the corrugated board to compression strength, relative humidity of the air in the cold storage plant, relative humidity of the air in the environment, temperature of the cold storage plant and the temperature of the environment were tested. Numerous measurements were interpreted by the regression analysis. The results show great aberrations of temperature and relative humidity of the air in the cold storage plant and in the environment. The average difference in temperature between the cold storage plant and the outer surroundings was 23,88oC, while the average difference of the relative humidity of the air in regard to the environment was 22,58%. The thermal shock to which the box samples were exposed showed great aberrations in the compression strength. The compression strength of the samples 2KŠ and 2KŠ-E was decreased for 40%, and after only two days the stacks on the pallet imploded. The rest of the samples survived these drastic changes. Measurements show that the decrease of the compression strength of all the samples follows the simultaneous great humidity content increase. Conclusion: The cyclic changes of the relative humidity in the air, with the negligible influence of the time duration drastically decrease the nominal compression strength of the corrugated boxes. The storage of the fruit in the cold storage plants demands the usage of the high quality boards produced from the high quality non recycled raw material. The analysis of the paper quality control measurements for the flat and wall layer is suggested in its production process. These data could be used for determining the influences on the boundary compression durability of each layer of the corrugated board as well as the boundary compression durability of the boxes. The setting of the humidity barrier on the surface of the corrugated board is also suggested. This decision however should be based on the size and on the degree of the humidity circulation.