  We study the adiabatic topological charge pumping driven by interlayer
sliding in the moir\'{e} superlattices. We show that, when we slide a single
layer of the twisted bilayer system relatively to the other, a moir\'{e}
pattern flow and a quantized transport of electrons occurs. When the Fermi
energy is in a spectral gap, the number of pumped charges in the interlayer
sliding process is quantized to a sliding Chern number, which obeys a
Diophantine equation analogous to the quantum Hall effect. We apply the
argument to the twisted bilayer graphene, and find that energy gaps above and
below the nearly-flat bands has non-zero sliding Chern numbers. When the Fermi
energy is in either of those gaps, the slide-driven topological pumping occurs
perpendicularly to the sliding direction.
