  We examine a two-parameter ($\hbar ,$ $\lambda $) deformation of the
Poincar\`e algebra which is covariant under the action of $SL_q(2,C).$ When
$\lambda \rightarrow 0$ it yields the Poincar\`e algebra, while in the
$\hbar\rightarrow 0$ limit we recover the classical quadratic algebra discussed
previously in \cite{ssy95}, \cite{sy95}. The analogues of the Pauli-Lubanski
vector $w$ and Casimirs $p^2$ and $w^2$ are found and a set of mutually
commuting operators is constructed.
