The first people to live in this site were a slaveowner named Mr. R.A. Clay, who moved from Autauga County with his family and approximately 100 slaves in 1852, and purchased all the land which later made up the town of Cuba.

Clay donated land for the railroad right-of-way, built mainly by the people he enslaved.

In 1870, Mr. Clay sold to Mr. Warner Lewis half of the town and divided it into lots, with two set aside for the building of the Baptist and Methodist churches.

Cuba Baptist Church was organized in 1879; the original building still stands on the spot where it was first built.

As of the 2020 United States Census, there were 306 people, 206 households, and 129 families residing in the town.

The racial makeup of the town was 85.0% White, 13.0% Black, 0.6% Native American and 1.2% from two or more races.

The racial makeup of the town was 91.74% White, 7.71% Black or African American, 0.28% Pacific Islander, and 0.28% from two or more races.

[8] The climate in this area is characterized by hot, humid summers and generally mild to cool winters.