"My father leaves behind a legacy of great performances in movies and in his paintings and assemblages," the actress, 51, said in a statement Thursday.
"He leaves behind children and their families who loved him and respected him and a wife and in-laws who were devoted to him. He also leaves behind fans all over the world," added Curtis.
The star was 85 and also suffered from chronic obstructive pulmonary disease.
Jamie Lee, the daughter of Curtis and his first wife, actress Janet Leigh, was previously estranged from her father for a period of time but later reconciled.
Curtis also had five other children between his five marriages.