A new cultivar of Abelia plant named, ‘ABENOV41’ that is characterized by its an evergreen plant habit in U.S.D.A. Zone 7, its long and floriferous bloom period, blooming from May to October in France, its large flowers that are pink-violet in color and open from deep pink-purple buds, its bracts that are reddish brown in color, and its moderate to vigorous growth habit.