  The aim of this paper is to explore the thermodynamic topology of topological
charged dilatonic black holes. To achieve this, our study will begin by
examining the characteristics of topological charged black holes in dilaton
gravity. Specifically, we will concentrate on the impact of the topological
constant on the event horizon of these black holes. Subsequently, we will
analyze these black holes, considering their thermodynamic and conserved
quantities, in order to assess the validity of the first law of thermodynamics.
We explore the thermodynamic topology of these black holes by treating them as
thermodynamic defects. For our study, we examine two types of thermodynamic
ensembles: the fixed $q$ ensemble and the fixed $\phi$ ensemble. To study the
impact of the topological constant ($% k$) on thermodynamic topology, we
consider all possible types of curvature hypersurfaces that can form in these
black holes. By calculating the topological charges at the defects within their
thermodynamic spaces, we analyze both the local and global topology of these
black holes. We also investigate how the parameters of dilaton gravity affect
the thermodynamic topology of black holes and highlight the differences
compared to charged black holes in the General Relativity.
