The ignition of gaseous premixtures in the cube with regular vortexes describing by time-independent ABC-flow field was investigated numerically in the frame of three-dimensional thermal-diffusion model. The effects of Lewis number, vortex size and the velocity amplitude on ignition energy have been studied. It was found that in the case of fixed velocity amplitude of the ABC-flow, there is a critical eddies size corresponding to the maximal ignition energy. Numerical results show that in large-scale eddies flow, the ignition energy is almost constant until the velocity amplitude exceeds some critical value, then the abrupt linear increase of ignition energy is observed. It is shown that ignition energy is changing very slowly in the range of Lewis numbers from 0.3 to 1.2, and rapidly increases for Lewis numbers large of 1.2. Obtained results coincide with experimental data available in literature and with previous theoretical results obtained for the spherical flame initiation in the quiescent mixtures.