To investigate the effect of the arrangement of glass fibres on the electrical dendrite growth of epoxy resin composite insulation materials. In this paper, specimens of glass fibre reinforced epoxy resin material were prepared, an experimental platform for electric tree discharge of the material under a pin-plate electrode was constructed, and experiments on the initiation and cultivation of electric dendrites were carried out under the working frequency voltage. The partial discharge phase distribution profiles collected by the partial discharge detector were recorded and the effect of glass fibre position on the electrical dendritic properties of the epoxy resin was investigated. When the applied electric field was parallel to the glass fibre, the expansion coefficient of the electric dendrite fluctuated around 1.4, the electric dendrite was mainly developed longitudinally and the growth shape was multi-branched linear growth; when the applied electric field was perpendicular to the glass fibre, the expansion coefficient of the electric dendrite fluctuated around 0.85, the electric dendrite was mainly developed laterally and the growth shape was agglomerative growth. When the electric field is applied perpendicular to the glass fibre, the expansion coefficient fluctuates around 0.85, the electric tree mainly develop horizontally and the growth pattern is agglomerative. The analysis suggests that when the applied electric field is parallel to the glass fibre, to release the discharge energy in the main channel of the dendrite, the discharge in the track of the electric tree will drive the electric tree to grow along the interface area between the glass fibre and the epoxy resin. When the externally applied electric field is perpendicular to the glass fibre, the discharge within the electric tree discharge channel is high. To release the energy in the electric tree channel, the blast in the electric tree track induces the electric tree branch to grow along the interface area and forward.