A Hom-Lie supertriple system L is \(\mathbb {Z}_2\) -graded generalization of a Hom-Lie triple system. The purpose of this paper is to investigate the superderivation algebra Der(L), the generalized superderivation algebra GDer(L), the quasisuperderivation algebra QDer(L), the central superderivation algebra ZDer(L), and the supercentroid C(L) of a Hom-Lie supertriple system. We give some useful properties and connections between these superderivations. Furthermore, we show that the quasisuperderivation of L can be embedded as a superderivation in a larger Hom-Lie supertriple system and \(Der(\tilde{L})\) has a direct sum decomposition when the center of L is equal to zero where \(\tilde{L}=\{\sum (z_1\otimes t +z_2\otimes t^3)|z_1,z_2\in L\}\) and t is an indeterminate. Later, we obtain some structural results on supercentroids of Hom-Lie supertriple systems.
