Miguel Díaz-Canel told crowds in Havana the US is attempting to destroy Cuba’s political system.
He said America aims for total control through the island.
Díaz-Canel described American policies a type of political genocide during July 26 events.
He emphasised this is a menace to Cuba’s sovereignty.
Raúl Castro was absent from the largest rally.
Tensions are elevated as a result of sanctions and American political pressure.