Process for obtaining a "diesel cut" fuel having a CN cetane number equal
to or greater than 48 and a content of aromatics lower than 0.4% by weight starting
from olefins or their mixtures, characterized in that it comprises oligomerizing
said olefins having from 2 to 10 carbon, distilling the stream obtained from the
oligomerization, and hydrogenating the separated C12-C24
hydrocarbon stream.