The Fulde-Ferrell-Larkin-Ovchinnikov phase, with a spatially oscillating order parameter, may be induced by strongly magnetic field at low temperature. It is believed that the Fulde-Ferrell-Larkin-Ovchinnikov phase can exist only in homogeneous superconductors, and even weak impurity potential can lead to its destruction. The analysis of the Fulde-Ferrell-Larkin-Ovchinnikov phase in the Bogoliubov-de Gennes equation shows however, that this phase can exist in the presence of weak disorder. Using Bogoliubov-de Gennes equations, we discussed the influence of diagonal and off-diagonal disorder on the Fulde-Ferrell-Larkin-Ovchinnikov phase.