Disclosed is a method for processing naphtha, according to which a) naphtha or a stream generated from naphtha in a preprocessing step is divided into a stream A that is stripped of aromatics and a stream B which is enriched with aromatics in a membrane unit, the aromatics concentration in stream A ranging from 2 to 12 percent by weight (step a); b) partial stream A is directed at least in part into a steam cracker (step b); c) partial stream B is directed at least in part into a unit in which said stream B is divided into a stream C or several streams C' C'', C''',..., which has/have a lower aromatics content than stream B, and a stream D or several streams D', D'', D''',..., which has/have a higher aromatics content than stream B, by means of a thermal process (step c); d) stream C or at least one of the streams C', C'', C''' is delivered as a whole or in part to the feed for the steam cracker or directly to the steam cracker (step d).