Engelstad is a Norwegian surname. Notable people with the surname include:
Carl Fredrik Engelstad (1915–1996), Norwegian writer, playwright, and journalistEivind Stenersen Engelstad (1900–1969), Norwegian archaeologist and art historianFredrik Engelstad, Norwegian sociologistGunvald Engelstad (1900–1972), Norwegian politician for the Labour PartyHelen Engelstad (1908–1989), Norwegian art historian and educatorJess Julius Engelstad (1822–1896), Norwegian engineer and railroad administratorKai Arne Engelstad, Norwegian speed skaterKirsten Engelstad, Norwegian librarianOscar Engelstad (1882–1972), Norwegian gymnast who competed in the 1912 Summer OlympicsRalph Engelstad (1930–2002), American businessman, owner of the Imperial Palace Hotel and CasinoSigurd Engelstad (1914–2006) Norwegian genealogist and archivist