This paper examines the inelastic cyclic behaviour of composite steel-concrete members considering full shear connection. Particular attention is given to the modelling of cyclic deterioration in strength and stiffness in the composite section in the presence of a fully connected concrete slab. Validation is firstly carried out against selected bare steel experimental results using a detailed continuum finite element model, which takes into account both isotropic and kinematic hardening of the steel material. The concrete slab is then added with full shear connection to the steel beam, and modelled using a detailed material model which can simulate the cyclic behaviour of concrete, and is then validated against available experimental results in the literature. The proposed continuum finite element model can satisfactorily simulate the cyclic behaviour of both steel and composite members, and account for the cyclic deterioration in stiffness and strength. The detailed finite element procedure offers a reliable basis for conducting future parametric investigations, with a view to developing design and assessment approaches that incorporate the main cyclic deterioration effects in composite steel-concrete elements.