After its big start Friday, the Disney release could be on track for a $100 million weekend. Box-office tracker Hollywood.com says that would be a record for films opening in March.
The current best March debut is $70.9 million for "300" in 2007.
Director Burton reteamed with frequent collaborator Depp, who plays the Mad Hatter in their new take on Lewis Carroll's classic. The film also features Burton's romantic partner, Helena Bonham Carter, along with Anne Hathaway, Crispin Glover and Mia Wasikowska as Alice.