The measurement of K^∗(892) resonance production via its K⁺π^- decay mode in inelastic p+p collisions at beam momentum 158 GeV/c (sNN=17.3 GeV) is presented. The data were recorded by the NA61/SHINE hadron spectrometer at the CERN Super Proton Synchrotron. The template method was used to extract the K^∗(892) signal and double-differential transverse momentum and rapidity spectra were obtained. The full phase-space mean multiplicity of K^∗(892) mesons was found to be (78.44 ± 0.38 (stat) ± 6.0 (sys)) · 10 ^{- 3}. The NA61/SHINEresults are compared with the Epos1.99 and Hadron Resonance Gas models as well as with world data from p+p and nucleus–nucleus collisions.