In　this　note,　Kalman　filtering　for　systems　with　multiple　packet　dropouts　is　introduced.　The　random　multiple　packet　dropouts　are　assumed　to　subject　to　the　Bernoulli　random　binary　distribution.　A　Kalman　filter　based　on　the　white,　zero-mean,　correlated　noises　is　proposed　to　design.　And　the　stability　of　the　designed　filter　is　analyzed　in　this　paper.　Finally,　a　numerical　example　is　exploited　to　show　the　usefulness　of　the　proposed　filter.