  It is well known that non-local theories of gravity have been a flourish
arena of studies for many reasons, for instance, the UV incompleteness of
General Relativity (GR). In this paper we check the consistency of
ST-homogeneous G\"{o}del-type metrics within the non-local gravity framework.
The non-local models considered here are ghost-free but not necessarily
renormalizable since we focus on the classical solutions of the field
equations. Furthermore, the non-locality is displayed in the action through
transcendental entire functions of the d'Alembert operator $\Box$ that are
mathematically represented by a power series of the $\Box$-operator. We find
two exactly solutions for the field equations correspondent to the degenerate
($\omega=0$) and hyperbolic ($m^{2}=4\omega^2$) classes of ST-homogeneous
G\"{o}del-type metrics.
