  In \cite{FGLNP}, Fox, Gromov, Lafforgue, Naor and Pach, in a respond to a
question of Gromov \cite{G}, constructed bounded degree geometric expanders,
namely, simplical complexes having the affine overlapping property. Their
explicit constructions are finite quotients of $\tilde{A_d}$-buildings, for
$d\geq 2$, over local fields. In this paper, this result is extended to general
high rank Bruhat-Tits buildings.
