The zoo picked five potential names for the adorably fuzzy cubs: Goji, meaning "goji berry," Omid, meaning "hope," Bodhi, meaning "enlightenment," Zara, meaning "flower" and Nisha, meaning "night."
As with other baby animals born at the zoo, you can vote for your favorite names by donating either in person at the zoo's Asian Highlands destination or online here through the Future for Wildlife Fund. Voting ends Aug. 7 at midnight.
The names with the most donations toward the zoo's conservation efforts to protect snow leopards in Central Asia will be deemed the winners. Scientists estimate that fewer than 7,000 snow leopards remain in the species' natural habitat.
Here's a closer look at what the trio of siblings and their mother, Sombra, have been up to recently: