  We show that the eight-dimensional instanton solution, which satisfies the
self-duality equation $F \wedge F = *_8 F \wedge F$, realizes the static
Skyrmion configuration in eight dimensions through the Atiyah-Manton
construction. The relevant energy functional of the Skyrme field is obtained by
the formalism developed by Sutcliffe. By comparing the Skyrmion olution
associated with the extreme of the energy, with the Atiyah-Manton solution
constructed by the instantons, we find that they agree with high accuracy. This
is a higher-dimensional analogue of the Atiyah-Manton construction of Skyrmions
in four dimensions. Our result indicates that the instanton/Skyrmion
correspondence seems to be an universal property in $4k \ (k=1, 2, \ldots)$
dimensions.
