Wagner was born in
Poznań. His parents were Romuald and Zofia (née Kotlińska). He had two younger siblings, Elżbieta (born 1946) and Leszek. Wagner was married twice. On 15 October 1963, he married
Danuta Kordaczuk, an Olympic medal winning
volleyball player with medals in the World and European Championships. The couple had one son,
Grzegorz Wagner (born 1965), a professional volleyball
setter and coach. The couple divorced in 1978. In 1979, he married Anna Baraniecka. In the last two years of his life, his partner was Danuta Marzec. He had three grandchildren: Iwo (born 1991), who played as a setter and is now a
scout; Jakub (born 1993), who is also a volleyball player; and Sara (born 2003). ==Coaching==