The　non-fragile　H-infinity　filtering　for　a　class　of　linear　systems　described　by　Delta　operator　is　investigated.　The　designed　filter　is　assumed　to　be　with　multiplicative　filter　gain　variations.　The　sufficient　condition　is　developed　for　the　existence　of　the　non-fragile　filter　design　in　terms　of　linear　matrix　inequality　(LMI),　and　the　obtained　non-fragile　H-infinity　filter　guarantees　the　filter　error　system　of　asymptotic　stability　and　prescribed　disturbance　attenuation　performance　for　a　restricted　variation　of　filter　gain.　The　numerical　example　illustrates　the　feasibility　and　advantage　of　the　proposed　designs.