In fire conditions, the prediction of the behaviour of bolted steel connections becomes complicated since different parameters, such as temperature increase, beam thrust and large deformations, influence their structural behaviour. Finite-element modelling can help to better understand the three-dimensional deformations and the failure mechanisms of bolted connections at elevated temperatures. In this paper, a 3D finite-element modelling study of bolted end-plate moment connections subjected to elevated temperatures is presented. The modelled connections can be used to connect either tubular or I-shaped steel beams to tubular steel columns. The different components of the beam-to-column connection include the beam, column, beam end plate, column connecting plate, bolts and welds. The connection components were modelled using eight-node continuum hexahedral brick elements (C3D8R in ABAQUS/Standard V6.92 terminology), which have the capability of representing large deformations and the non-linearity of both geometry and material at elevated temperatures. Contact between the connection components was modelled using the surface-to-surface interaction command with a small sliding option. The model was validated using the experimental results of two full-scale fire-resistance tests. Good agreement between the model predictions and the experimental results was achieved for different measurements; such as the connection deformations, connection hogging moment, beam thrust and beam deflection.