The phenomenon of passive immunisation in disease control models, where a stable epidemic equilibrium state co exist with a stable disease free equilibrium when associated eigen values are all negative, has important implication for disease control. In this study, we modelled the effect of passive immunisation and infectious hepatitis B treatment on the spread and control of the disease. We established the existence of equilibrium states and analyse the disease free equilibrium for stability. It was established that λ₁ = -μ, λ₂ = -μ, λ₃ = -(γ + μ) and λ₄ = (δB / μ) - μ hence, the disease free equilibrium state will be stable if (δB / μ) < μ i.e., (number of susceptible individuals produced is less than natural death rate). Thus, effort should be intensify in increasing the duration of efficacy of the vaccines used in passive immunisation programme.