[4] Crosby was founded in 1904 at the end of a Great Northern Railway branch line that began in Berthold.

[7] According to the United States Census Bureau, the city has a total area of 1.37 square miles (3.55 km2), all land.

40.5% of all households were made up of individuals, and 18.3% had someone living alone who was 65 years of age or older.

There were 637 housing units at an average density of 472.4 per square mile (182.4/km2).

38.0% of all households were made up of individuals, and 24.5% had someone living alone who was 65 years of age or older.

Based on climate data in the years 1991–2020, the average date for the first autumn frost is September 23 while the last spring frost is usually around May 14, giving Crosby, North Dakota an average growing season of 132 days.

[13] On December 20, 2023, Vassen's cousin and president of the Crosby City Council Kjell Vassen was appointed to act as mayor until June 11, 2024 when James Jacobs defeated him in the city's mayoral election.