International Front for Jihad against the Jews and Crusaders.

Although "al-Qaeda" is the name of the organization used in popular culture, the organization rarely uses the name to refer to itself. In formal communications Bin Laden has called the organization the International Front for Jihad against the Jews and Crusaders.

Indeed the use of the name "al-Qaeda" dates from early 2001, when the American government decided to prosecute Bin Laden in his absence and had to use anti-Mafia laws that required the existence of a named criminal organisation. Bin Laden himself said in 2001, "We used to call the training camp al-Qaeda ["the base"]. And the name stayed."

CNN