Eigil is a given name. Notable people with the given name include:

Eigil Axgil (1922–1995), Danish gay activist

Eigil Bryld, Danish cinematographer

Eigil Kragh Christiansen (1894–1943), Norwegian sailor

Eigil Gullvåg (1921–1991), Norwegian newspaper editor and politician

Eigil Hansen (1922–1991), Danish field hockey player

Eigil Helland-Hansen (1910–1997), Norwegian travel agent

Eigil Johansen (1915-?), Danish wrestler

Eigil Knuth (1903–1996), Danish explorer, archaeologist, sculptor and writer

Eigil Knutsen (born 1988), Norwegian politician

Eigil Olaf Liane (1916–1994), Norwegian politician

Eigil Nansen (1931-2017), Norwegian activist and torchbearer

Eigil Nielsen (footballer, born 1918) (1918–2000), Danish footballer

Eigil Nielsen (footballer, born 1948) (1948–2019), Danish footballer

Eigil Pedersen (1917–1994), Danish chess player

Eigil Ramsfjell (born 1955), Norwegian curler

Eigil Reimers (1904–1976), Danish actor

Eigil Sørensen (born 1948), Danish cyclist

Eigil (given name)