  We analyze the behaviour of the high-energy scattering amplitude within the
brane world scenario in extra dimensions. We argue that contrary to the popular
opinion based on the Kaluza-Klein approach, the cross-section does not increase
with energy, but changes the slope close to the compactification scale and then
decreases like in the 4-dimensional theory. A particular example of the
quark-antiquark scattering due to the gluon exchange in the bulk is considered.
