To address the application requirements for high-power green pulsed laser transmission, a six-tube hollow-core anti-resonant fiber (HC-ARF) is designed. The effects of various structural parameters on the optical performance are analyzed. A functional model correlating the structural parameters with key performance indicators is constructed using the response surface methodology (RSM), and optimal design parameters are obtained through global optimization. To achieve strict single-mode transmission, a macro-bending radius of 7.5 cm is introduced. High-order modes are effectively filtered out via phase-matching-induced resonant coupling effects, and a high-order mode extinction ratio (HOMER) of 443.04 is achieved. Furthermore, excellent robustness against potential fabrication errors is exhibited by the proposed structure, and a reliable device solution for laser precision machining and flexible transmission in the green spectral region is provided.