Overview
In the Middle Ages, the duke of Normandy was the ruler of the Duchy of Normandy in north-western France. The duchy arose out of a grant of land to the Viking leader Rollo by the French king Charles the Simple in 911. In 924 and again in 933, Normandy was expanded by royal grant. Rollo's male-line descendants continued to rule it until 1135. In 1202 the French king Philip II declared Normandy a forfeited fief and by 1204 his army had conquered it. It remained a French royal province thereafter, still called the Duchy of Normandy, but only occasionally granted to a duke of the royal house as an apanage.
Despite both the 13th century loss of mainland Normandy, the renunciation of the title by Henry III of England in the Treaty of Paris (1259), and the extinction of the duchy itself in modern-day, republican France, in the Channel Islands the monarch of the United Kingdom is regardless still sometimes informally referred to by the title "Duke of Normandy". This is the title used whether the monarch is a king or a queen.
History of the title
There is no record of Rollo holding or using any title. His son and grandson, Duke William I and Duke Richard I, used the titles "count" (Latin comes or consul) and "prince" (princeps). Prior to 1066, the most common title of the ruler of Normandy was "Count of Normandy" (comes Normanniae) or "Count of the Normans" (comes Normannorum). The title Count of Rouen (comes Rotomagensis) was never used in any official document, but it was used of William I and his son by the anonymous author of a lament (planctus) on his death. Defying Norman pretensions to the ducal title, Adhemar of Chabannes was still referring to the Norman ruler as "Count of Rouen" as late as the 1020s. In the 12th century, the Icelandic historian Ari Thorgilsson in his Landnámabók referred to Rollo as Ruðu jarl (earl of Rouen), the only attested form in Old Norse, although too late to be evidence for 10th-century practice. The late 11th-century Norman historian William of Poitiers used the title "Count of Rouen" for the Norman rulers down to Richard II. Although references to the Norman rulers as counts of Rouen are relatively sparse and confined to narrative sources, there is a lack of documentary evidence about Norman titles before the late 10th century.
The first recorded use of the title duke (dux) is in an act in favour of the Abbey of Fécamp in 1006 by Richard II, Duke of Normandy.
From Wikipedia (CC BY-SA 4.0).