This paper is concerned with the problem of JP5-1&_mathId=mml11&_user=1067359&_cdi=5689&_rdoc=22&_acct=C000050221&_version=1&_userid=10&md5=6af174d595bca6e0a5322a7c92a70a87"> filtering for 2D discrete Markovian jump systems. The mathematical model of 2D jump systems is established upon the well-known Roesser model. Our attention is focused on the design of a full-order filter, which guarantees the filtering error system to be mean-square asymptotically stable and has a prescribed cct=C000050221&_version=1&_userid=10&md5=6a5ed5651d6745abccd3c3958f11d3d7"> disturbance attenuation performance. Sufficient conditions for the existence of a desired filter are established in terms of linear matrix inequalities (LMIs), and the corresponding filter design is cast into a convex optimization problem which can be efficiently solved by using commercially available numerical software. A numerical example is provided to illustrate the effectiveness of the proposed design method.