  Found is the complete nonlinear action of multiple D$0$-brane system (mD$0$)
in three dimensional type II superspace which is invariant under rigid $D=3$
${\cal N}=2$ spacetime supersymmetry and under local worldline supersymmetry
generalizing the $\kappa-$symmetry of single D$0$-brane action. We show that a
particular representative of this family of actions can be obtained by
dimensional reduction of the action of $D=4$ non-Abelian multiwaves (nAmW), the
$D=4$ counterpart of 11D multiple M-wave (mM0) action, that we have also
constructed in this paper. This reduction results in an action with is
nonlinear due to the presence of a certain function ${\cal M}({\cal H})$ of the
relative motion Hamiltonian ${\cal H}$, the counterpart of which enters the 4D
nAmW action linearly. Curiously, the action possesses double supersymmetry also
for an arbitrary function ${\cal M}({\cal H})$. In particular for ${\cal
M}=\text{const}$ we find a dynamical system describing the sum of single D$0$
action and the action of 1d dimensional reduction of the $D=3$ ${\cal N}=2$ SYM
coupled to the worldline supergravity induced by the embedding of the center of
energy motion into the $D=3$ ${\cal N}=2$ superspace.
