  We construct spontaneously vectorized black holes where a real vector field
is coupled to the Gauss-Bonnet invariant. We employ three coupling functions
for the vector field, and determine the respective domains of existence of the
vectorized black holes. These domains of existence are bounded by the
marginally stable Schwarzschild black holes and the critical vectorized black
holes. We also address the effects of a mass term. For a given black hole mass
the horizon radius is smaller for the vectorized black holes than for the
Schwarzschild black holes. Since the vector field vanishes at the horizon,
there is no contribution from the Gauss-Bonnet term to the entropy of the
vectorized black holes.
