The third Pirates of the Caribbean film has dominated the North American box office but failed to match the takings of the 2006 sequel Dead Man's Chest.
The film stars Geoffrey Rush (l) and Depp, as Captain Jack Sparrow
Pirates of the Caribbean: At World's End earned $126.5m (£63.2m) over its opening three days, but fell short of the earlier movie's $136.6m (£68.8m).
However it did break the four-day Memorial Day record set by X-Men 3.
The film, starring Johnny Depp, easily sailed past the $123m (£61.9m) set by X-Men: The Last Stand, last year.
Spider-Man 3 currently holds the three-day box office sales record. The sequel took $151m (£76m) across its opening weekend earlier this month.
Pirates of the Caribbean: At World's End, which reunites Depp, Keira Knightley and Orlando Bloom, is currently showing in 102 countries, and opened in a record 4,362 cinemas.
It follows the original film, Curse of the Black Pearl, released in 2003, and last year's Dead Man's Chest.
The latest chapter in the Disney adventure, inspired by a theme park ride, took $57m (£28.7m) in the US, including previews of $14m, by the end of its opening day on Friday.
The studio claimed combined national and international figures marked their biggest Friday ever.
"This is the biggest Friday our company has ever had," said Mark Zoradi, of Walt Disney Studios.
"We're delighted that word-of-mouth is clearly translating into record results at the box office."
In contrast, critics reviews have so far been mixed.
"Maybe they should have called it Pirates of the Caribbean: At Wit's End," wrote Time magazine's Richard Schickel.
The Hollywood Reporter's Michael Rechtshaffen said that "while it still lacks the giddy zip of Curse of the Black Pearl, the new edition delivers its fair share of entertaining sequences, especially wherever Depp is concerned".
In Rolling Stone, Peter Travers wrote: "I applaud the Oscar nomination Depp received for the first Pirates, but the third chapter proves that there can indeed be too much of a good thing.
"Pirates 3 raises everything from the dead, except inspiration."
Ticket sales are likely to be further boosted by the Memorial Day holiday in the US on Monday.