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In this paper we calculate the next-to-leading-order (NLO) corrections to ρ-meson electromagnetic form factors by employing the kT factorization approach. We find that the NLO correction to Fi(Q2)(i=LT,TL) is around 30% of the leading-order (LO) contribution in the region Q2>2GeV2. The NLO correction to FLL(Q2) is close to 20% of the LO one in the region Q2>3GeV2. The NLO radiative corrections to the electric, magnetic, and quadruple form factors Fj(Q2)(j=1,2,3) are sizeable in magnitude and agree with those from other approaches.