Anselmo Alliegro y Milá (March 16, 1899 – November 22, 1961) was a Cuban politician who served as Prime minister of Cuba.

He was president of the Senate in the Congress of Cuba from 28 January 1955 to 1 January 1959,[1] and served as Prime Minister of Cuba in 1944.

On January 1, 1959, a military junta offered him the interim presidency of Cuba to replace Fulgencio Batista, who resigned and emigrated that day, but he did not accept it and emigrated with his family to Chile three months later, where they lived for two months and moved to Miami, United States.

He was married to Ana Durán with whom he had one child, Anselmo Leon Alliegro Jr.

He also had a daughter, Rosa Maria "Polita" Alliegro y Sanchez, from his previous marriage to Rosa M. Sanchez and a step-son, Alfredo G. Duran, a product of his wife Anita Duran's first marriage.