Denmark is an unincorporated community and census-designated place in northeastern Lee County, Iowa, United States.

[2] Although Denmark is unincorporated, it has a post office with the ZIP code of 52624, that opened on April 7, 1846.

[5][6] The community is part of the Fort Madison–Keokuk, IA-MO Micropolitan Statistical Area.

In 1836, four families emigrated from the town and church of New Ipswich, NH to Denmark in what was then Wisconsin Territory, now in Iowa.

In the building of a church and of an academy they followed as closely as possible the example set by the founders of New Ipswich.

Asa Turner, they joined with others in the election of Governor Grimes in 1854, which changed the political history of Iowa and gave birth to the Republican party in the nation."

[14] Ken Marang, the superintendent, stated that the "outdated" building had problems with mold and water leakage and that the fact that "doors open out into the hallways" made it "unsafe".

[16] Circa 2013 some residents were calling for the school to be dismantled and the land given to the community.