Summary: Motivated by the connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators, we study the pole-skipping phenomena for rotating BTZ black holes. In particular, we investigate the effect of rotations on the pole-skipping point for various fields with spin \(s = 1/2, 1, 2/3\), extending the previous research for \(s = 0, 2\). We derive an analytic full tower of the pole-skipping points of fermionic (\(s = 1/2\)) and vector (\(s = 1\)) fields by the exact holographic Green’s functions. For the non-extremal black hole, the leading pole-skipping frequency is \(\omega_{\mathrm{leading}} = 2 \pi iT_h(s - 1 + \nu \Omega)/(1 - \Omega^2)\) where \(T_h\) is the temperature, \(\Omega\) the rotation, and \(\nu := (\Delta_+ - \Delta_-)/2\), the difference of conformal dimensions (\(\Delta_\pm)\). These are confirmed by another independent method: the near-horizon analysis. For the extremal black hole, we find that the leading pole-skipping frequency can occur at \(\omega_{\mathrm{leading}}^{\mathrm{extremal}} = -2\pi iT_R(s + 1)\) only when \(\nu = s + 1\), where \(T_R\) is the temperature of the right moving mode. It is non-trivial because it cannot be achieved by simply taking the extreme limit \((T_h \rightarrow 0, \Omega \rightarrow 1)\) of the non-extremal black hole result.