Torstensson is a surname. Notable people with the surname include:
Anders Torstensson or Anders Torstenson, (1641–1686), Swedish statesman, member of the Privy Council, Governor-General of Estonia 1674–1681Åsa Torstensson (born 1958), Swedish politician and a member of the Centre PartyConny Torstensson (born 1949), former footballer from SwedenCount Lennart Torstensson or Lennart Torstenson, Count of Ortala, Baron of Virestad (1603–1651), Swedish Field Marshal & military engineerKlas Torstensson (born 1951), award-winning Swedish-Dutch composerLinnea Torstensson or Linnea Torstenson, (born 1983), Swedish handball player, played for the Sweden women's national handball team