The electrodeposition of copper on a conically shaped diamagnetic electrode was studied under the influence of a vertical magnetic field. Numerical simulations combined with measurements of the velocity and the concentration field were conducted to provide understanding of the influence of the Lorentz force on the deposition process. The secondary flow caused by the magnetic field is directed downward along the cone surface and thus supporting conical growth. Since the cathode is placed at the bottom of the electrochemical cell, natural convection is counteracting the influence of the Lorentz force. However, the different time scales of both forces involved allow utilizing the beneficial influence of the Lorentz force, e.g. in pulsed deposition regimes. Display omitted •combined experimental and numerical study of the electrodeposition of copper at a conically shaped electrode•the single cone study is motivated as generic case of rough and regularly surface-structured electrodes•a vertical magnetic field is found to be beneficial for enhancing conical growth•the secondary flow induced by the Lorentz force increases the deposition rate near the cone tip•the influence of solutal buoyancy is strong and superimposing the magnetic field effect, but might be mitigated