Engqvist is a Swedish surname. Notable people with the surname include:
Andreas Engqvist (born 1987), Swedish ice hockey player Jonatan Habib Engqvist, Swedish art historian, art critic and curator Lars Engqvist (born 1945), Swedish politician Leif Engqvist (born 1962), Swedish footballer and manager Lisa Engqvist (1914–1989), Danish ceramist and graphic artist Mats Engqvist, Swedish football coach Thomas Engqvist (born 1963), Swedish chess player