A differential equation model for TB-HIV/AIDS co-infection with population dependent natural death rate in finite population is analysed. Different conditions area derived for endemic and disease free equilibria. The basic reproduction numbers R₁ and R₂ for TB and HIV respectively exist then infection can persist if and only if R₁>1, and R₂>1. The population is disease free if R₁ ˂1 and R₂ ˂1. An equilibrium analysis of the model and local stability analysis for small perturbation about equilibrium values are discussed. The infection rate on spread of co-infection is evaluated numerically.