We present a numerical investigation of the role of spin‐orbit coupling in Pd as pertained to the electron spin resonance experiment. For the band structure calculation, we use the modified interpolation scheme of Mueller. The effective g‐value and resonance line shape are calculated for the cases of assumed d‐c magnetic fields in the [100] and the [111] directions. Due to the deviation of the g‐value from its free electron value of 2.0, the resonance line shape has a width of about 25% of the central frequency. The effective g‐value is in fair agreement with the extrapolated value obtained from electron spin resonance experiments in Pd alloys with ferromagnetic elements.