[en] The invention refers to acceleration technique and can be used in ion linear accelerators. An object of the invention is to develop a method for ion acceleration which ensures in practice a more compact and effective accelerator development. This is realized by passing an electron beam along the axis of the linear accelerator, the latter being a conducting screen whose diameter periodically changes along the ion acceleration direction with a gradual increase in space period which follows an increase in velocity of accelerated ions. The electron beam confined by a constant axial magnetic field is modulated in intensity so that the modulation period is equal to the ion time-of-flight through the space period of the structure