New experimental data on inclusive spectra of identified particles produced in pp collisions at the RHIC are used to test z-scaling. Energy and multiplicity independence of the scaling function is established. The RHIC data confirm z-scaling observed at U70, ISR, SpS and Tevatron energies. The obtained results are of interest to search for new physics phenomena of particle production in high transverse momentum and high multiplicity region at RHIC, Tevatron and LHC.