Conrad Cono(n) (Italian: Corrado Conone) (died 997) was the Margrave of Ivrea from 970 to his death and Duke of Spoleto and Camerino (996–997). He was the third son of Berengar II of Italy and Willa of Tuscany. His elder brothers were Adalbert and Guy, both of whom ruled the march before him. His father made him, possibly, the first Count of Ventimiglia.