The production of the charm-strange baryon Ξ_c ⁰ is measured for the first time at the LHC via its semileptonic decay into eΞ−+ν_e in pp collisions at s=7 TeV with the ALICE detector. The transverse momentum (p_T) differential cross section multiplied by the branching ratio is presented in the interval 1<p_T<8 GeV/c at mid-rapidity, |y|<0.5. The transverse momentum dependence of the Ξ_c ⁰ baryon production relative to the D⁰ meson production is compared to predictions of event generators with various tunes of the hadronisation mechanism, which are found to underestimate the measured cross-section ratio.