  We construct the type IIA Green-Schwarz superstring action on a
ten-dimensional IIA plane wave background with 24 supersymmetries keeping the
full 32 fermionic coordinates. Starting from the symmetry superalgebra for the
maximally supersymmetric eleven dimensional plane wave background, we obtain
the eleven dimensional superfields. The Kaluza-Klein reduction leads to the ten
dimensional superfields for the IIA plane wave background, from which the type
IIA superstring action is constructed. We show that the superstring action
reduces correctly to the previously known light-cone gauge fixed action upon
imposing the light-cone $\kappa$-symmetry fixing condition.
