MPEJ Volume 2, No.5, 8pp Received: Jul 17, 1996, Revised: Oct 6, 1966, Accepted: Oct 13, 1996 Andrzej Sitarz, Piotr Zgliczynski On a Matched Pair of Lie Groups for the $\kappa$-Poincar\'e in 2-Dimensions ABSTRACT: We present the construction of the $\kappa$-Poincar\'e in two dimensions from matched pairs of Lie groups: $SO(1,1)$ and a $\kappa$-deformed group of translations.