The village of Vavla was built , according to the historian Nearchos Clerides , around 1450 AD.

There are two versions about the name of the village. In one version it is said the name came from Vavyla, a feudal lord of the area including Vavla, Kato Drys and Lefkara. In another version it is said that Vavla got its name from a plant that grew on the banks of the River Nile in Egypt , which was brought in by village residents . The soft wood of this plant was of good quality and used in shipbuilding. The resin of the plant was used as an adhesive of wood for ships. ( There is another village in Cyprus called Vavylas, and it is in the Morfou region) .

Some men of the village took part in the Balkan Wars in 1912-1913 ( Achilleas Michailidis ) , as well as the First and Second World War.

During the liberation struggle of EOKA the years 1955-1959, a  number of Vavla residents were members of the Organization . Other fighters had been through the village. One of the most important, Michalakis Parides , who was a Section Head of EOKA in Larnaca , was hiding in the house of the teacher of the village , Christakis Karagiorgis. Parides was killed by the British in August 1958 at a battle at his hiding place.

By initiative of the EOKA fighters , today the village has a museum exhibiting Parides' personal belongings. Agricultural tools of the last century , used by farmers in Vavla are also exhibited in the museum.