High-spin states in {sup 162}Ho have been populated in the reaction {sup 160}Gd({sup 7}Li, 5n) at a beam energy of 49 MeV. The K {sup {pi}}=1{sup -} band, the low-K Gallagher-Moszkowski (GM) partner band of known high-K(K {sup {pi}}=6{sup -}) band, based on the configuration {pi}7/2{sup -}[523]{center_dot}{nu}5/2{sup +}[642], and the K {sup {pi}}=6{sup +} band, the high-K GM partner band of known low-K(K{sup {pi}}=1{sup +}) band, based on the configuration {pi}7/2{sup -}[523]{center_dot}{nu}5/2{sup -}[523], have been identified. GM splitting energies, defined as {delta}E{sub GM}=E{sub int}{sup K-}E{sub int}{sup K,} 80 keV and -135 keV were extracted from these two sets of GM doublet bands, respectively. They are comparable with 65 keV and -145 keV, reported recently by Hojman et al. for the corresponding configurations {pi}7/2{sup -}[523]{center_dot}{nu}5/2{sup +}[642] and {pi}7/2{sup -}[523]{center_dot}{nu}5/2{sup -}[523] in {sup 164}Ho, respectively.