Engelstad is a Norwegian surname. Notable people with the surname include:
Carl Fredrik Engelstad (1915–1996), Norwegian writer, playwright, and journalist
Eivind Stenersen Engelstad (1900–1969), Norwegian archaeologist and art historian
Fredrik Engelstad, Norwegian sociologist
Gunvald Engelstad (1900–1972), Norwegian politician for the Labour Party
Helen Engelstad (1908–1989), Norwegian art historian and educator
Jess Julius Engelstad (1822–1896), Norwegian engineer and railroad administrator
Kai Arne Engelstad, Norwegian speed skater
Kirsten Engelstad, Norwegian librarian
Oscar Engelstad (1882–1972), Norwegian gymnast who competed in the 1912 Summer Olympics
Ralph Engelstad (1930–2002), American businessman, owner of the Imperial Palace Hotel and Casino
Sigurd Engelstad (1914–2006) Norwegian genealogist and archivist
