The paper concerns distinct current filaments which appear inside plasma layers and columns produced by high-current pulse discharges of the Z-pinch and Plasma-Focus (PF) type. Results obtained previously, e. g. pictures taken with high-speed cameras, soft X-ray pinhole images, measurements of angular distributions of fast deuterons, images of so-called hot-spots inside the pinch column etc., have been reviewed and explained on the basis of the filamentary model. For the first time results of the measurements of fusion-produced protons, which were performed at different azimuthal angles (around the pinch column), have been presented. These results constitute a new experimental evidence of the appearance and role of the current filaments in pinch-type discharges.