Electrical and mechanical characterization of carbon nanotube (CNT) reinforced composites has long drawn the attention of researchers. Electrical conductivity of CNTs accounts for electrical properties of their composites. Conductivity of insulating polymers is achieved at relatively low volume fractions of CNTs. The lowest volume fraction of CNTs required for conductivity is called percolation threshold. This threshold is affected by the mechanical loading of the composite. In this computer study, the CNT sticks are scattered randomly within a sample block using the algorithm of Monte-Carlo. Subjected to mechanical loading, the sticks are displaced using the method of Mori-Tanaka. Then the diagrams of mechanical strain versus volume fraction at percolation threshold are drawn. The results show that by applying tensile stresses the percolation can be achieved at lower volume fractions compared to the unloaded state.