The modulation of the electronic structure by an external magnetic field, which could further control the electronic transport behaviour of a system, is highly desired. Herein, an unconventional anomalous Hall effect (UAHE) was observed during magnetization process in the magnetic Weyl semimetal EuB6, resulting in an unconventional anomalous Hall-conductivity as high as ~1000 {Omega}-1 cm-1 and a Hall-angle up to ~10%. The system even only shows the UAHE, meaning that the anomalous Hall signal completely comes from the UAHE, with UAHE accounting for 100% and 87.5% of the AHE and the total Hall response, respectively. Theoretical calculations revealed that a largely enhanced Berry curvature was induced by the dynamic folding of the topological bands due to the spin-canting effect under external magnetic fields, which further produced the prominent UAHE even in a low-field magnetization process. These findings elucidate the connection between the non-collinear magnetism and the topological electronic state as well as reveal a novel manner to manipulate the transport behaviour of topological electrons.