[1] Hans Schack was born on 14 January 1734 at Schackenborg Castle in Møgeltønder in the Kingdom of Denmark.

Born into the noble family of Schack, he was the fifth child and eldest surviving son of the Danish nobleman and civil servant Otto Didrik Schack, and his wife Anna Ernestine Frederikke Vilhelmine Gabel .

[2] At the early death of his father on 11 July 1741, he inherited the Countship of Schackenborg and assumed the title of enfeoffed count.

[1][3] Count Schack died on 21 August 1796, aged 62, at Schackenborg Castle.

[1][3] Schack married firstly on 7 January 1757 at Christiansborg Palace Chapel in Copenhagen Ulrikke Augusta Vilhelmine Moltke, daughter of Danish courtier, statesman and diplomat Count Adam Gottlob Moltke and Christiane Frederikke von Brüggemann, by whom he had four children.