Problems of studying spiral ornaments of the Tripolye ceramics. The article is devoted to the research of spiral ornaments of the Cucuteni-Tripolye culture. The pointed lines of the ornaments development allow to confirm that ornamental schemes of the Tripolye ceramics develop on the basis of initial composition which consists of snakes’ images. Beginning with the Tripolye BI — Cucuteni A period significant changes occur in the main scheme which gradually loses its initial meaning. Changes in the design technology have taken the important part of it. “Reading” of those ornaments could be hardly done because of the decorating art. Various levels of stylization and repetition, rhythm of the ornamental motives initially open possibilities to interpret the pictures in a rather free way. The typological research of the design is the most perspective as it opens wide possibilities to study relative chronology and local peculiarities of the Cucuteni-Tripolye monuments.