This dataset accompanies the article: Alexander Ayriyan, David Blaschke, Juan Pablo Carlomagno, Gustavo A. Contrera, and Ana Gabriela Grunfeld. Bayesian Analysis of Hybrid Neutron Star EOS Constraints Within an Instantaneous Nonlocal Chiral Quark Matter Model. Universe 11(5), 141 (2025). https://doi.org/10.3390/universe11050141 It contains tabulated hybrid Equations of State (EOS) for neutron star matter, generated within an instantaneous nonlocal chiral quark model coupled to a hadronic DD2 model. The Bayesian analysis explores the EOS parameter space characterized by the coupling constants \eta_D and \eta_V, which govern diquark and vector interactions, respectively. The provided data includes EOS tables for selected parameter sets. The coupling parameters were selected from the 60% Bayesian credibility region for physically significant cases (see figure Hybrid_EoS_Bayesian_Analysis.png), such as: • the maximum and minimum neutron star masses • the maximum and minimum neutron star onset • the most probable EOS from the Bayesian posterior This dataset enables further analysis of neutron star properties, supporting transparency and reproducibility of the published results. Data Description: EOS Tables: Each file corresponds to a particular hybrid EOS parameter set (see figure Pressure_vs_EnergyDensity.png), as indicated in the filename, and contains columns: • mu_B: baryon chemical potential [MeV] • p: pressure [MeV/fmÑ] • n_B: baryon density [1/fmÑ] • eps: energy density [MeV/fmÑ] • cs2: squared speed of sound [cÇ] Filenames are formatted as DD2p00_2FCSC3DFF_etaD=_etaV=_css_EOS.dat