A nonsingular configuration of m lines of RP3 is defined as an (unorde
red) collection of m nonoriented pairwise disjoint lines in RP3. An is
otopy of such a collection in the process of which the lines remain pa
irwise disjoint lines is called a rigid isotopy. The main aim of the p
aper is to classify nonsingular configurations of 7 lines of RP3 up to
rigid isotopy.