It's always the 2nd Tuesday in February. It will be February 13th in 2024. Buy your license now with a Feb 14th start date and it will be good through next year's elk and antelope draw. Then buy your license for next year with a June 11th start date and you won't have to buy a license in 2025 to apply for elk, antelope, deer, and sheep. You can get 3 years out of 2 licenses if you do it this way. It won't work if you also apply for spring hunts (Bison, Turkey, etc). You could buy just 1 license every 2 years if you only apply for elk and antelope.
Draw deadlines have always been:
Elk and antelope: 2nd Tuesday in February.
Main Draw (deer, sheep, fall bison, etc): 2nd Tuesday in June.
Spring draw (spring turkey, spring bison, etc): 2nd Tuesday in October.