Eyster is a given name and surname. Notable persons with that name include:
Surname: Christian S. Eyster (1814–1886), associate justice of the Colorado Territorial Supreme Court Jeffrey Eyster (born 1970), American architect Kevin Eyster, American poker player Nellie Blessing Eyster (1836–1922), American journalist, writer, lecturer, and social reformer Trevor Eyster, American actor
First/middle name: Henry Eyster Jacobs (1844–1932), American educator and theologian