This article with the pecbliarities of carring out of traditional Ukrainian – Polish Literary – Artistic meetings “Dialogue of Two cultures” at the Juliush Slowatsky’s Memorial Museum in Kremenets (Ternopil Region, Ukraine). It’s been held early since 2005 and is organized together with the Anna and Jaroslaw Iwashkewychs’ Memorial Museum (Stawisko, Poland) with the help of others Ukrainian and Polish Institutions. Since That time it has become a special phenomenon in cultural life of countries. Conferences, meetings, literary and artistic presentations, plain airs consolidated hundreds of adherents. Their participants: scholars, historians, museum workers, writers, art critics are in constant search of good – neighbour relations, solving of their general problems on the basis of neighbourliness, ways of mutual under – standing between the two nations, tolerance and friendliness between them.