  We show that a recently constructed five-dimensional (5D) model with
gauge-Higgs unification and explicit Lorentz symmetry breaking in the bulk,
provides a natural dark matter candidate. This is the lightest Kaluza-Klein
particle odd under a certain discrete Z_2 symmetry, which has been introduced
to improve the naturalness of the model, and resembles KK-parity but is less
constraining.
  The dark matter candidate is the first KK mode of a 5D gauge field and
electroweak bounds force its mass above the TeV scale. Its pair annihilation
rate is too small to guarantee the correct relic abundance; however
coannihilations with colored particles greatly enhance the effective
annihilation rate, leading to realistic relic densities.
