The design of nonlinear photonic Vogel's spiral based on quasi-crystal theory was demonstrated.Two main parameters of Vogel's spiral were arranged to obtain multi-reciprocal circles.Typical structure was fabricated by the near-infrared femto-second laser poling technique,forming a nonlinear photonic structure,and multiple ring-like nonlinear Raman-Nath second-harmonic generation processes were realized and analyzed in detail.The structure for the cascaded third-harmonic generation process was predicted.The results could help deepen the understanding of Vogel's spiral and quasi-crystal and pave the way for the combination of quasi-crystal theory with more aperiodic structures.