The Hunger Games is widely tipped to be one of the highest-grossing films of the year so far.
Some industry watchers predict it could take $100m (£64m) in its opening weekend in the US.
It has already attracted crowds in Los Angeles - where hundreds of fans camped out overnight in front of the Nokia Theatre to secure tickets to the premiere on Monday night.
In The Hunger Games, Lawrence stars as teenage heroine Katniss Everdeen, a miner's daughter and skilled huntress, who enters a televised battle to the death to save her younger sister.
She has described the character as "a futuristic Joan of Arc".