  The $C^*$-algebraic $\kappa$-Poincar\'{e} Group is constructed. The
construction uses groupoid algebras of differential groupoids associated to Lie
group decomposition. It turns out the underlying $C^*$-algebra is the same as
for "$\kappa$-Euclidean Group" but a comultiplication is twisted by some
unitary multiplier. Generators and commutation relations among them are
presented.
