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A non-local gravity model, which includes a function $f(\Box^{-1} R)$, where$\Box$ is the d'Alembert operator, is considered. For the model with anexponential $f(\Box^{-1} R)$ de Sitter solutions are explored, without anyrestrictions on the parameters. Using Hubble-normalized variables, thestability of the de Sitter solutions is investigated, with respect toperturbations in the Bianchi I metric, in the case of zero cosmologicalconstant, and sufficient conditions for stability are obtained.

Stability of de Sitter Solutions in Non-local Cosmological Models