We analyze the effect of an isospin chemical potential µ I in the Sakai-Sugimoto model, which is the string dual of a confining gauge theory related to large N c QCD, at temperatures below the chiral symmetry restoration temperature. For small chemical potentials we show that the results agree with expectations from the low-energy chiral Lagrangian, and the charged pion condenses. When the chemical potential reaches a critical value µ I = µ crit ≃ 1.7m ρ , the lowest vector meson (the "rho meson") becomes massless, and it condenses (in addition to the pion condensate) for µ I > µ crit . This spontaneously breaks the rotational symmetry, as well as a residual U(1) flavor symmetry. We numerically construct the resulting new ground state for µ I > µ crit .