Excitation functions of the ^natPd(p,2pxn)^{102m,g;101m,g;99m,g}Rh reactions and the cross section ratios for the isomeric pairs ^102m,gRh, ^101m,gRh and ^99m,gRh have been measured up to 42.61 MeV. The experiments were carried out using a stacked-foil activation technique. The proton beam intensity was determined based on the ^natCu (p,xn)⁶²Zn and ^natCu(p,xn)⁶⁵Zn monitoring reactions. The activities of the irradiated palladium and cooper monitor foils were measured using a HPGe γ-ray detector. The present experimental cross sections are compared with reference data and with the theoretical predictions from TENDL-2015 libraries. The cross sections for the nuclear reactions natPd(p,2pxn)^102m,gRh were measured in the energy range of 20–40 MeV and the cross section ratios for all three isomeric pairs ^102m,gRh, ^101m,gRh and ^99m,gRh produced in the ^natPd(p,2pxn) reactions are the first measurements.