The New York rapper sold 527,000 copies of the album, according to Nielsen SoundScan, making its debut the year's second-biggest opening after Justin Timberlake's "The 20/20 Experience," which moved almost 1 million copies in its first week in stores in March.
It also marks the fourth week in a row that a hip-hop album has topped the album chart, Billboard noted, following earlier No. 1's by Kanye West, Wale and J. Cole.
The sales total for "Magna Carta" does not include 1 million copies Jay-Z sold to Samsung, which made them available July 4 to smartphone users through an app that has been widely criticized for its perceived privacy infringements.
On Wednesday night Jay-Z and Timberlake are to launch their so-called Legends of the Summer tour in Toronto; it will stop at the Rose Bowl in Pasadena on July 28.