In the 2021 Census of Population conducted by Statistics Canada, Minburn had a population of 78 living in 37 of its 42 total private dwellings, a change of  from its 2016 population of 115.
The 2021 Census of Population conducted by Statistics Canada revealed that Minburn's population was 78 people residing in 37 out of its 42 private residences, which is a decrease from its 2016 population of 115.