Quenching treatment can provide microstructure for subsequent tempering treatment in the production process of NiCrAlFe precision resistance alloy. However, the recrystallization texture formed during quenching will be inherited into the tempered alloy, causing anisotropy of resistance and affecting the final performance of precision resistors. In order to investigate the evolution of the texture and its influence on the anisotropy of resistance, the effect of various quenching holding times on the alloy were studied. The results indicate that certain rolling deformation texture is gradually transformed into recrystallization texture and the texture intensity decreases significantly during the holding process. At the same time, the formation of a large number of twins promotes the formation of Brass-R {111}<112> texture at twin boundaries. The electrical resistivity of the alloy changes from 1.360 μΩ·m to 1.427 μΩ·m, and it shows an increasing trend with the holding time. The large number of supersaturated vacancies generated by quenching is the main reason for the increase in alloy electrical resistivity, but there is no correlation between the orientation density of texture and the electrical resistivity, however the type and intensity of textures exhibit significant influence on the anisotropy of the electrical resistivity. The electrical resistivity of direction rolling, direction 45°, and direction 65° are mainly influenced by Goss {110}<001> texture, Goss {110}<001> texture and Brass-R {111}<112> texture, and S {123}<634> texture and R {124}<211> texture, respectively.