Ali Šukrija was born in Mitrovica, Kosovo and studied medicine at the University of Belgrade before World War II.

After the war, he studied at the Đuro Đaković high political school of Belgrade and was public prosecutor in Kosovo in 1945.

Following the purge of Xhavid Nimani in August 1981, he also served briefly, until 1982, as president of the presidium.

Šukrija is remembered as a particularly pro-Yugoslav politician who served Belgrade loyally in the face of a rising Albanian nationalist movement.

Šukrija lived the rest of his life in retirement in Belgrade,[1] until his death in 2005.