Via numerical and analytical method, we construct the holographic p-wave conductor/superconductor model with C 2 F 2 correction (where C 2 F 2 = C αβ μν C μν αβ F ρσ F ρσ , and C αβ μν and F ρσ denotes the Weyl tensor and gauge field strength, respectively.)in the four-dimensional Schwarzschild-AdS black hole, and mainly study the effects of C 2 F 2 correction parameter denoted by γ on the properties of superconductors. The results show that for all values of the C 2 F 2 parameter, there always exists a critical temperature below which the vector hair appears. Meanwhile, the critical temperature increases with the improving C 2 F 2 parameter γ , which suggests that the improving C 2 F 2 parameter enhances the superconductor phase transition. Furthermore, at the critical temperature, the real part of conductivity reproduces respectively a Drude-like peak and an obviously pronounced peak for some value of nonvanishing C 2 F 2 parameter. At the low temperature, a clear energy gap can be observed at the intermediate frequency and the ratio of the energy gap to the critical temperature decreases with the increasing C 2 F 2 parameter, which is consistent with the effect of the C 2 F 2 parameter on the critical temperature. In addition, the analytical results agree well with the numerical results, which means that the analytical Sturm-Liouville method is still reliable in the grand canonical ensemble.