Rare information on photodisintegration reactions of nuclei with mass numbers A ≈ 160 at astrophysical conditions impedes our understanding of the origin of p-nuclei. Experimental determination of the key (p, γ) cross sections has been playing an important role to verify nuclear reaction models and to provide rates of relevant (γ, p) reactions in γ-process. In this paper we report the first cross section measurements of 160 Dy(p, γ) 161 Ho and 161 Dy(p, n) 161 Ho in the beam energy range of 3.4 -7.0 MeV, partially covering the Gamow window. Such determinations are possible by using two targets with various isotopic fractions. The cross section data can put a strong constraint on the nuclear level densities and gamma strength functions for A ≈ 160 in the Hauser-Feshbach statistical model. Furthermore, we find the best parameters for TALYS that reproduce the A ∼ 160 data available, 160 Dy(p, γ) 161 Ho and 162 Er(p, γ) 163 Tm, and recommend the constrained 161 Ho(γ, p) 160 Dy reaction rates over a wide temperature range for γ-process network calculations. Although the determined 161 Ho(γ, p) stellar reaction rates at the temperature of 1 to 2 GK can differ by up to one order of magnitude from the NON-SMOKER predictions, it has a minor effect on the yields of 160 Dy and accordingly the p-nuclei, 156,158 Dy. A sensitivity study confirms that the cross section of 160 Dy(p, γ) 161 Ho is measured precisely enough to predict yields of p-nuclei in the γ-process.