We performed a nuclear resonance fluorescence experiment to determine the energy and quantum numbers of excited states in Mg26. Spin-parity ambiguities of excited states in Mg26, the compound nucleus for the s-process neutron source Ne22(α,n)Mg25, result in large uncertainties in the reaction rates. The present work uses the monoenergetic γ-ray beam from the High-Intensity γ-ray Source to probe states in the excitation energy range of Ex=10.8 to 11.4 MeV. Five excited states were observed and unambiguous quantum numbers were assigned at Ex=10573.3(8) keV (Jπ=1-), Ex=10647.3(8) keV (Jπ=1+), Ex=10805.7(7) keV (Jπ=1-), Ex=10949.1(8) keV (Jπ=1-), and Ex=11153.5(10) keV (Jπ=1+). The two natural parity states, located between the α-particle and neutron thresholds, are expected to significantly influence the rate of the competing Ne22(α,γ)Mg26 reaction. An important finding of this work is that the Ex=11154 keV level has unnatural parity, contrary to previous results, and thus does not contribute to the Ne22+α reaction rates.