Born in Hazelridge, Manitoba to Nick Lucko and Pearl Mozel, Ukrainian-Canadian parents, Lucko worked as a general merchant in Hazelglen. He served as the community's school secretary and postmaster. In 1938, he married Anne Nimchuk.
He was first elected to the Manitoba legislature in the provincial election of 1949, winning an easy victory in the constituency of Springfield. He was re-elected in the 1953 election, and served as a backbench supporter of Douglas Campbell's government.
The Liberal-Progressives lost power in the 1958 provincial election, although Lucko was re-elected by 82 votes over his Progressive Conservative opponent, Oscar Russell. In the 1959 election, he lost his seat to Progressive Conservative Fred Klym by 371 votes.
He died in Winnipeg at the age of 77.
- Ewanchuk, Michael (1999). East of the Red : early Ukrainian settlements north of the Dawson Trail. Volume 2. p. 89. Retrieved 2013-09-06.
- "William Lucko (1911-1998)". Memorable Manitobans. Manitoba Historical Society. Retrieved 2013-09-06.
- Normandin, Pierre G. The Canadian parliamentary guide, P.G. Normandin, 1956 OCLC 36235094 p. 515
- Marunchak, Mykhaĭlo H. The Ukrainian Canadians: a history, Ukrainian Academy of Arts and Sciences (UVAN) in Canada, 1982, OCLC 165891742 p. 685
- William Lucko's profile at the International Genealogy Index