Olivet is a city in Eaton County in the U.S. state of Michigan.

According to the United States Census Bureau, the city has a total area of 1.02 square miles (2.64 km2), all land.

There were 483 housing units at an average density of 473.5 per square mile (182.8/km2).

26.5% of all households were made up of individuals, and 6.6% had someone living alone who was 65 years of age or older.

There were 488 housing units at an average density of 481.6 per square mile (185.9/km2).

28.1% of all households were made up of individuals, and 6.5% had someone living alone who was 65 years of age or older.