Karl Marx (and also Friedrich Engels, by the way) was – contrary to his own opinion – an author of several utopias which played a role in the 20th century. The question (which is of both historical-philosophical and historical-empirical character) therefore arises how important this role was. The author focuses on the characteristics of Marxian utopias, and specifically – on their axiological content and current relevance. According to the author, Marx’s utopias can be a convenient starting point for searching for various projects (political, economic, technological etc.) necessary to cope with global challenges that mankind faces in our time. The author is also considering Marx’s motives for a critical approach to utopias and points to those of them which in his opinion should be accepted, while distinguishing them from others which should be rejected.