  Weyl bi-connection model manifests a natural framework to automatically
produce the Galileon structure. It is shown that this framework can explain
scalar Galileon, vector Galileon as well as their interactions by generalizing
the Weyl non-metricity. So it can be interpreted as a geometrical realization
for Galileons. The non-metricity part enjoys a $U(1)$ gauge invariance. The
result is interestingly non-trivial since the Galileon structure appears
spontaneously and not by demanding the absence of the Ostrogradsky ghost. This
fact suggests a possible deeper conceptual relation between Weyl bi-connection
model and the absence of Ostrogradsky ghost.
