 He was often considered the most scientific artillery officer and most successful engineer in the Swedish army.Torstensson was married in 1633 to Baroness Beata De la Gardie (1612–1680), daughter of the Privy Councillor Johan De la Gardie (1582–1640) and Katarina Kristersdotter Oxenstierna (-1625).They had a son, Anders Torstenson, who also served as a Privy Councillor and Governor-General of Estonia.