The father of Konstantin, Jakob (Jaagup) Päts (1842–1909), was a housebuilder from Heimtali, near Viljandi. Konstantin's mother, Olga Päts ("née" Tumanova; 1847–1914), was from a mixed Estonian-Russian family and as an orphan grew up with foster parents in the Razumovsky family, where the father, her uncle, was the mayor of Valga. It is also claimed that she grew up with the Krüdener family, where the father, Baron Krüdener, was his uncle; however it is more likely that she served the Krüdener family later as a governess. Jakob and Olga met while they were both in the service of the Krüdener family.