[2] He was born in the village of Hlodič (Clodig, in Italian) in the municipality of Grimacco (Garmak in the local Slovene dialect) in what was then the Austrian-administered Kingdom of Lombardy–Venetia.
His mother Anna, née Sabladoski, was the daughter of a Polish officer in Napoleon's army who had settled in Gorizia and married a local Slovene woman.
[2] He spent much of his childhood under the tutelage of his maternal uncle, Jožef Sabladoski, who served as a priest in nearby Livek and sponsored young Anton's education.
Klodič was instrumental in the posthumous publication of the selected works of his brother-in-law, the Slovene poet and writer Josip Pagliaruzzi who died in 1885 at the age of 25.
He was the father of the renowned marine painter Paolo Klodic who served as the director of the port of Trieste under the Anglo-American administration after World War II,[4] and of Maks Klodič-Sabladoski, the civil engineer who designed much of the Bohinj Railway.