75As(n,γ)76As reaction play a critical role in both the main and weak s-processes of stellar nucleosynthesis. We report a high-precision measurement of the 75As(n,γ)76As neutron capture cross sections from 1eV to 1MeV, performed at the Back-n facility of the China Spallation Neutron Source using the Time-of-Flight method. In the resolved resonance region, seventeen previously unreported resonances were identified, and discrepancies with evaluated nuclear data libraries, particularly at 493 eV and 2368 eV, were clarified. Resonance parameters for the newly observed structures were extracted with the R-matrix code SAMMY. Maxwellian-averaged cross sections were calculated based on the averaged cross sections in the unresolved resonance region. And the reaction rates for 75As(n,γ)76As reaction were derived over the astrophysically relevant temperature range of the s-process nucleosynthesis model. The present reaction rates deviate significantly from previous theoretical predictions, and the uncertainties are significantly reduced. These results provide accurate experimental benchmarks for nuclear data evaluations and enable more reliable nucleosynthesis modeling of arsenic in stellar environments.