In order to accelerate the transition to a decarbonized energy future, hydrogen is gaining more and more attention as a flexible energy source. Future low-carbon power systems will rely heavily on gas turbines to maintain grid resilience and stability. A major shift in thermo-acoustic instability characteristics is observed when designing gas turbine combustors that run with either pure hydrogen or natural gas that has been enriched with hydrogen. Due to its greater reactivity and burning rates, it exhibits various thermo-acoustic instability features. In this paper, the flame stabilization mechanism for three hydrogen-blend fuels, pure hydrogen (PH), synthesis natural gas (SNG), and syngas (SG) for the turbulent bluff body combustor has been examined numerically. ANSYS Fluent 2022 R1 is used for numerical modelling of the turbulent non-premixed flames. The standard k-epsilon realizable model of turbulent flow and the probability density function (PDF)/Mixture Fraction combustion model for non-premixed combustion have been used in this study for the combustion modelling. The jet momentum flux ratio (MFR) and equivalence ratio (ϕ) both affect the flame stabilization with variation in Reynolds number (Re). It has been observed that PH flame is anchored very close to injection holes, SG flame stabilizes close to the walls of the combustor and in the shear layer of the bluff body, whilst SNG flame is observed in the shear layer and in the wake of the bluff body.