We have derived elemental abundances of three field red horizontal branch stars using high-resolution (R 45,000), high signal-to-noise ratio (S/N 200) H and K band spectra obtained with the Immersion Grating Infrared Spectrograph (IGRINS). We have determined the abundances of 21 elements including α (Mg, Si, Ca, S), odd-Z (Na, Al, P, K), Fe-group (Sc, Ti, Cr, Co, Ni), neutron-capture (Ce, Nd, Yb), and CNO group elements. S, P and K are determined for the first time in these stars. H and K band spectra provide a substantial number of S i lines, which potentially can lead to a more robust exploration of the role of sulfur in the cosmochemical evolution of the Galaxy. We have also derived 12 C/ 13 C ratios from synthetic spectra of the first overtone (2−0) and (3−1) 12 CO and (2−0) 13 CO lines near 23440Å and 13 CO (3−1) lines at about 23730Å. Comparison of our results with the ones obtained from the optical region suggests that the IGRINS high-resolution H and K band spectra offer more internally self-consistent atomic lines of the same species for several elements, especially the α elements. This in turn provides more reliable abundances for the elements with analytical difficulties in the optical spectral range.