Combinatorial geometry is a young branch of mathematics that took shape in an independent direction only in the 20th century. Its origin is associated with the work of Khedive, Badger, Hadwiger, South, Grünbaum, Sekefalvi-Naya and other mathematicians. This monograph is the first large study of Soviet scientists on combinatorial geometry. It differs from existing books on combinatorial geometry in a large number of new statements of problems and the results obtained.