  In a large class of nonlocal as well as local higher derivative theories
minimally coupled to the matter sector, we investigate the exactness of two
different classes of homogeneous G\"{o}del-type solutions, which may or may not
allow closed time-like curves (CTC). Our analysis is limited to spacetimes
solving the Einstein's EoM, thus we can not exclude the presence of other
G\"{o}del-type solutions solving the EoM of local and nonlocal higher
derivative theories but not the Einstein's EoM.It turns out that the
homogeneous G\"{o}del spacetimes without CTC are basically exact solutions for
all theories, while the metrics with CTC are not exact solutions of
(super-)renormalizable local or nonlocal gravitational theories. Hence, the
quantum renormalizability property excludes theories suffering of the
G\"{o}del's causality violation. We also comment about nonlocal gravity
non-minimally coupled to matter. In this class of theories, all the G\"{o}del's
spacetimes, with or without CTC, are exact solutions at classical level.
However, the quantum corrections, although perturbative, very likely spoil the
exactness of such solutions. Therefore, we can state that the G\"{o}del's
Universes with CTC and the super-renormalizability are mutually exclusive.
