This paper investigates the thermodynamic topology of phantom AdS black holes in the context of massive gravity, focusing on the canonical and grand canonical ensembles. The study explores the critical points and topological charges associated with these black holes. In the canonical ensemble, a conventional critical point (CP₁) with a topological charge of -1 is identified, which is specific to the classical Einstein-Maxwell theory (η=1). In contrast, the grand canonical ensemble does not exhibit a critical point, and the topological charge depends on the electric potential, being either 0 or 1. The analysis reveals that black holes can be considered as topological defects, with their topological charge determined by winding numbers. The total topological charge in the canonical ensemble remains consistently 1. The study also identifies generation and annihilation points in the thermodynamic space, which depend on the pressure and electric potential. In the grand canonical ensemble, the topological charge is influenced by the electric potential, and the system exhibits different topological behaviors compared to the canonical ensemble. The results show that ensembles significantly affect the topological class of phantom AdS black holes in massive gravity. The study highlights the importance of thermodynamic topology in understanding the phase transitions and stability of black holes in different ensembles. The findings contribute to the broader understanding of black hole thermodynamics in the context of massive gravity and provide insights into the topological properties of phantom AdS black holes.This paper investigates the thermodynamic topology of phantom AdS black holes in the context of massive gravity, focusing on the canonical and grand canonical ensembles. The study explores the critical points and topological charges associated with these black holes. In the canonical ensemble, a conventional critical point (CP₁) with a topological charge of -1 is identified, which is specific to the classical Einstein-Maxwell theory (η=1). In contrast, the grand canonical ensemble does not exhibit a critical point, and the topological charge depends on the electric potential, being either 0 or 1. The analysis reveals that black holes can be considered as topological defects, with their topological charge determined by winding numbers. The total topological charge in the canonical ensemble remains consistently 1. The study also identifies generation and annihilation points in the thermodynamic space, which depend on the pressure and electric potential. In the grand canonical ensemble, the topological charge is influenced by the electric potential, and the system exhibits different topological behaviors compared to the canonical ensemble. The results show that ensembles significantly affect the topological class of phantom AdS black holes in massive gravity. The study highlights the importance of thermodynamic topology in understanding the phase transitions and stability of black holes in different ensembles. The findings contribute to the broader understanding of black hole thermodynamics in the context of massive gravity and provide insights into the topological properties of phantom AdS black holes.