The area was mentioned as Abencourt in 1146, Abencurtis in 1148, Abencurt in 1150 and 1152, Habencourt in 1180, Abencourt in 1337, 1454, and in the 16th century.
One Jean and one Adrien d'Abancourt were alternately lords of Abancourt at the beginning of the 15th century.