Stable isotope studies of highly siderophile elements (HSE) have the potential to yield valuable insights into a range of geological processes. In particular, the strong partitioning of these elements into metal over silicates may lead to stable isotope fractionation during metal–silicate segregation, making them sensitive tracers of planetary differentiation processes. We present the first techniques for the precise determination of palladium stable isotopes by MC-ICPMS using a ¹⁰⁶Pd–¹¹⁰Pd double-spike to correct for instrumental mass fractionation. Results are expressed as the per mil (‰) difference in the ¹⁰⁶Pd/¹⁰⁵Pd ratio (δ¹⁰⁶Pd) relative to an in-house solution standard (Pd_IPGP) in the absence of a certified Pd isotopic standard. Repeated analyses of the Pd isotopic composition of the chondrite Allende demonstrate the external reproducibility of the technique of ±0.032‰ on δ¹⁰⁶Pd. Using these techniques, we have analysed Pd stable isotopes from a range of terrestrial and extraterrestrial samples. We find that chondrites define a mean δ¹⁰⁶Pd_chondrite = −0.19 ± 0.05‰. Ureilites reveal a weak trend towards heavier δ¹⁰⁶Pd with decreasing Pd content, similar to recent findings based on Pt stable isotopes (Creech et al., 2017), although fractionation of Pd isotopes is significantly less than for Pt, possibly related to its weaker metal–silicate partitioning behaviour and the limited field shift effect. Terrestrial mantle samples have a mean δ¹⁰⁶Pd_mantle = −0.182 ± 0.130‰, which is consistent with a late-veneer of chondritic material after core formation.