This paper explores the thermodynamic topology of phantom AdS black holes in the context of massive gravity, focusing on two ensembles: the canonical ensemble (CE) and the grand canonical ensemble (GCE). The authors evaluate the topological charge linked to critical points and confirm the existence of a conventional critical point (CP$_1$) in the CE with a topological charge of $-1$, indicating a phase annihilation point. In contrast, no critical point is identified in the GCE. The study also examines black holes as topological defects within the thermodynamic space, analyzing their winding numbers and observing that the total topological charge in the CE remains at 1. The paper discusses how the system's behavior changes when the pressure is below the critical threshold, leading to annihilation and generation points. The value of the electric potential determines whether the total topological charge in the GCE is zero or one, resulting in the detection of generation or absence of generation/annihilation points. The findings suggest that ensembles significantly impact the topological class of phantom AdS black holes in massive gravity. The study concludes by highlighting the importance of ensemble effects on the topological nature and stability of black holes, with implications for further research in this area.This paper explores the thermodynamic topology of phantom AdS black holes in the context of massive gravity, focusing on two ensembles: the canonical ensemble (CE) and the grand canonical ensemble (GCE). The authors evaluate the topological charge linked to critical points and confirm the existence of a conventional critical point (CP$_1$) in the CE with a topological charge of $-1$, indicating a phase annihilation point. In contrast, no critical point is identified in the GCE. The study also examines black holes as topological defects within the thermodynamic space, analyzing their winding numbers and observing that the total topological charge in the CE remains at 1. The paper discusses how the system's behavior changes when the pressure is below the critical threshold, leading to annihilation and generation points. The value of the electric potential determines whether the total topological charge in the GCE is zero or one, resulting in the detection of generation or absence of generation/annihilation points. The findings suggest that ensembles significantly impact the topological class of phantom AdS black holes in massive gravity. The study concludes by highlighting the importance of ensemble effects on the topological nature and stability of black holes, with implications for further research in this area.