With his first wife, Danish noblewoman Benedicta Ebbesdatter (Galen, apparently not Hvide as otherwise alleged, b. c. 1165/70, d. 1200), whom he married before 1190 when yet living in Denmark, Sverker had at least one well-attested daughter, Helena, as well as possibly further children, such as Karl (who died in adolescence at the latest, if ever lived; but his existence is from the record that he is alleged to have married a daughter of king
Sverre of Norway), and possibly even two other daughters (if they existed, their names are given by reconstructive history research as Margaret and Kristina - however they may just have been Sverker's first wife's kinswomen). Later pretensions of the
House of Mecklenburg claim that Sverker's daughter (if he had such) Christina was their ancestress, wife of Henry II of Mecklenburg ("Henry Borwin" in some later texts).
The second marriage in 1200 with
Ingegerd of Bjelbo, daughter of the
Folkunge Jarl
Birger Brosa produced a son and heir, Jon (1201-1222), who was chosen king of Sweden 1216 as
John I of Sweden.
His certain daughter
Helena Sverkersdotter married (earl) Sune Folkason of the family of Bjelbo, justiciar of Västergötland. Their daughters
Karin and
Benedikte became pawns in marriages to gain Swedish succession after 1222, when the
Sverker dynasty went extinct in male line. Catherine was married to the rival dynasty's heir
Eric XI of Sweden (but they remained apparently childless), and Benedikte had several daughters, who married high Swedish noblemen. Through Benedikte descend a number of powerfuls of Swedish politics throughout centuries.