The urgency of the research is due to the current requirements to develop the pedagogical culture of parents, which can help them to be successful parents, to effectively interact with their children avoiding family upbringing mistakes. In this respect, the article aims to identify the conditions for development of the pedagogical culture of parents by means of social partnership with a supplementary education institution and to work out the program of parent education. The leading approaches to this problem are axiological, synergic, systematic, and existentialistic ones allowing to find a comprehensive solution to the problem of improving family education. The article describes the implemented program of development of the pedagogical culture of parents by means of social partnership with a supplementary education institution; it also provides empirical data on the results of the program implementation. The article describes the content of the program of development of the pedagogical culture of parents. In this regard, the article can be of use to education practitioners who have to interact with parents in their professional activity.