Suu Kyi has been under house arrest for 11 years, Carrey said in his nearly 90-second message.
"She's also the world's only imprisoned Nobel Prize recipient," he said of the 1991 Peace Prize laureate.
Myanmar, formerly known as Burma, has been under international sanctions since the military rejected election results in 1990 won by Suu Kyi's opposition National League for Democracy.
"Even though she won 82 percent of the parliamentary seats in the country, she was locked away by the military regime and has been held for 11 years under house arrest," Carrey said in his message.
Carrey, star of the "Ace Ventura" movies and "How the Grinch Stole Christmas," begins his video with "I want to tell you about a hero of mine."
Acknowledging that many might not recognize her name because it is difficult to pronounce, Carrey said he remembers it this way:
"Aung San sounds like unsung, as in unsung hero," he said. "Aung San Suu Kyi is truly an unsung hero."