  Recent developments have revealed a new phenomenon, i.e. the residues of the
poles of the holographic retarded two point functions of generic operators
vanish at certain complex values of the frequency and momentum. This so-called
pole-skipping phenomenon can be determined holographically by the near horizon
dynamics of the bulk equations of the corresponding fields. In particular, the
pole-skipping point in the upper half plane of complex frequency has been shown
to be closed related to many-body chaos, while those in the lower half plane
also places universal and nontrivial constraints on the two point functions. In
this paper, we study the effect of higher curvature corrections, i.e. the
stringy correction and Gauss-Bonnet correction, to the (lower half plane)
pole-skipping phenomenon for generic scalar, vector, and metric perturbations.
We find that at the pole-skipping points, the frequencies $\omega_n=-i2\pi nT$
are not explicitly influenced by both $R^2$ and $R^4$ corrections, while the
momenta $k_n$ receive corresponding corrections.
