Accepted Wednesday Oct 21, 2009
We derived equations of motion corresponding to Bianchi-I cosmological models in the Lovelock gravity. Equations derived in general case, without any specific anzatz for any number of spatial dimensions and any order of the Lovelock correction. We also analyzed the equations of motion taking into account solely the highest-order correction and described the drastic difference between the cases with odd and even numbers of spatial dimensions. For power-law anzatz we derived conditions for Kasner and generalized Milne regimes for the model considered. Finally, we discuss possible influence of matter in the form of perfect fluid on the solutions obtained.