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Hf₇Pd₇Ga₃ has been obtained by arc melting the elements under argon atmosphere. The crystal structure of the new compound has been determined from single-crystal X-ray diffraction data, while powder X-ray diffraction has been applied for the characterization of polycrystalline samples. Hf₇Pd₇Ga₃ (oS68, Cmce, a = 12.948(4), b = 9.585(3), c = 9.581(3) Å, Z = 4) crystallizes with a ternary version of the Zr₇Ni₁₀ type of structure exhibiting a statistical mixture of palladium and gallium atoms on three crystallographically independent nickel sites. The crystal structure of Hf₇Pd₇Ga₃ features a Pd–Ga framework built of sinusoidal layers of Pd and Ga, which stack along the b axis sandwiching the Hf atoms. Density functional theory calculations for Hf₇Pd₇Ga₃ in an idealized, ordered structure and, for comparison, hypothetical Hf₇Pd₁₀ reveal that partial substitution of Pd by Ga helps to alleviate the strong Pd–Pd antibonding interactions observed in Ga-free Hf₇Pd₁₀.