Thanks to the remains of a pile-dwelling village it has been possible to ascertain that this area was already populated during the Early Bronze Age (1800–200 b.C.).
In the second half of the 12th century it became a feud of Ugone da Poncarale and in 1196 it was donated to the monks of Leno. Moniga was subjected to a series of rules, among which that by the Republic of Venice and subsequently the Austrian Empire, with which it belonged until 1859.
From 1928 to 1947 it became a part of the Commune of Padenghe. Its unusual name is believed to come from that of the goddess Diana Muchina, who, according to the legend, was said to have a sanctuary in the area.
Culture
Chiaretto, a rosé wine of a light cherry colour, owes its creation to local citizen Pompeo Molmenti, who dedicated his attention intensively to the cultivation of vines and wine on his estate in 1896. Moniga dedicates one events a year to this wine, the "Italia in Rosa" fair, held in June.