In this article, we introduce the notion of Lie triple centralizer as follows. Let A be an algebra, and ϕ : A ! A be a linear mapping. We say that ϕ is a Lie triple centralizer whenever ϕ([[a; b]; c]) = [[ϕ(a); b]; c] for all a; b; c 2 A. Then we characterize the general form of Lie triple centralizers on a generalized matrix algebra U and under some mild conditions on U we present the necessary and sufficient conditions for a Lie triple centralizer to be proper. As an application of our results, we characterize generalized Lie triple derivations on generalized matrix algebras.
