In this research study, we proposed an (M-S-E-I-R) model to understand the transmission dynamics and control of HBV taking into consideration passive immunisation, treatment of exposed individuals at latent period and infectious Hepatitis B treatment. We established the disease free equilibrium state and epidemic equilibrium state of the model. Stability analysis was carried out on the disease free equilibrium state and it was found that λ₁ = -μ, λ₂ = -μ, λ₃ = -(ε+μ), λ₄ = -(γ+μ) and λ₅ = δB/μ -μ hence the disease free equilibrium is stable if δB/μ is less than μ (where δB/μ is number of susceptible individuals produced).