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In this paper, we investigate dynamical analysis and optimal control for human immunodeficiency virus （HIV） transmission model with age-structure. Local asymptotic stability of disease-free equilibrium is proved by applying operator theory and spectral boundary principle. And the existence of endemic equilibrium is obtained by using fixed-point theorem and monotone iterative procedure. Optimal control of an age-structure HIV model is conducted by using prevention and control education and anti-HIV treatment as control strategies. Taking a suitable objective function is to prove existences of optimal control variables which are characterized by sensitivity system and adjoint system associated with optimal state system. Finally, numerical simulations with appropriate parameters are conducted to show that comprehensive publicity and education on prevention and control for susceptible individuals and prompt treatment of HIV-infected individuals can be better to reduce HIV impact.
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