In 2003 under the initiative Myron Markevych, who was born in Vynnyky, and at the time was head coach of FC Karpaty Lviv established football club called Rukh. When asked why Rukh, Markevych replied that Rukh is life. In June 2003 a children's football school Myron Markevych "Movement" under directorship Yuriy Hdanskyi and trainers Roman Hdanskyi, Ihor Didyk, Markiyan Shkraba, Oleh Lehan was formed.
Club logo used since the summer of 2016 till the summer of 2017
In 2009, the Rukh adult soccer team with President Hryhoriy Kozlovskyi and head trainer Roman Hdanskyi was formed. Since the team was located in Vynnyky which is a satellite town of the city of Lviv, so at a time teams participated separately in Lviv Oblast League Championship and in Lviv the teams participated in the championship of the city.
The club holds matches at the stadium named after Bohdan Markevych (1925–2002, Myron Markevych's father), who was one of the main sponsors of the football club and the Youth Academy, who worked for many years as a junior's coach.