  We investigate stability of the Einstein static solution against homogeneous
scalar, vector and tensor perturbations in the context of Rastall theory of
gravity. We show that this solution in the presence of perfect fluid and vacuum
energy originating from conformally-invariant fields is stable. Using the fix
point method and taking linear homogeneous perturbations, we find that the
scale factor of Einstein static universe for closed deformed isotropic and
homogeneous FLRW universe depends on the coupling parameter $\lambda$ between
the energy-momentum tensor and the gradient of Ricci scalar. Thus, in the
present model and in presence of vacuum energy, our universe can stay at the
Einstein static state past-eternally, which means that the big bang singularity
may be resolved successfully in the context of Einstein static universe in
Rastall theory.
