The paper is dedicated to the presentation of professor Hugo Steinhaus - co-founder of the Lwów School of Mathematics. It is indicated that had it not been for the scholar, the founding and development of the Lwów School of Mathematics would have been almost impossible. The analyses focus on his undertakings during the Lvov period in the early 1920s and those events that preceded the founding of the school (namely Steinhaus’s education at the Göttingen University, various meetings and gatherings, discussions, first fascinations and mathematical dissertations). This paper, however, does not look into the scientific output of Steinhaus, only presents his method of scientific work and highlights the strategy that he chose in order to create the scientific community. An attempt has been also made to justify the effectiveness of the adopted strategy by describing the scientific atmosphere of Lvov and intellectual potential of the students of the school. Steinhaus’s activities in the 1930s will be only marginally presented with an impact on particularly interesting cooperation with the alumni of the Lwów School of Mathematics – Marek Kac, Stefan Kaczmarz, Paweł Nikliborec and scholars from other fields of science (as part of the process of the application of mathematics).