Coffee's botanic classification
The Swedish botanist Carolus Linnaeus (1707-1778) was the first to described the coffee genus in his publication “Species Plantarum”, which he published in 1753. Carolus Linnaeus classified the coffee tree as belonging to the botanical family Rubiaceae (more commonly called the Madder family) which has some 500 genera and over 6,000 species.
Madder is a word that has been used for more than a millennium to refer to a red vegetable dye that has been used since prehistoric times and is found in greatest concentrations in the species of Rubia. (i.e. Rubia tinctorum and Rubia cordifolium). The family name, Rubiaceae, was derived from this generic name.
Most of the Rubiaceae family are tropical trees and shrubs which grow in the lower storey of forests. Other diverse members of the family include the gardenias and plants which yield quinine, but from an economic point of view, the genus Coffea is by far its most significant member.
Here is coffee's complete classification by class, sub-class, order, family, genus, and species (Arabica & Robusta)