The Pentagon said al-Nasr had organized routes for new recruits to travel from Pakistan to Syria through Turkey and played a significant role in the group's finances. He was killed in an air strike on Thursday in northwest Syria, it said.
"Al-Nasr was a longtime jihadist experienced in funneling money and fighters for al Qaeda. He moved funds from donors in the Gulf region into Iraq and then to al Qaeda leaders from Pakistan to Syria," a Pentagon spokesman said in a statement, Reuters reports.
Al-Nasr worked for al Qaeda's Iran-based network before taking charge of the militant group's finances in 2012 and moving to Syria in 2013, the Pentagon said.
He was the fifth senior Khorasan Group leader killed in the last four months, it said.
The Pentagon said al-Nasr was also known as Abdul Mohsen Adballah Ibrahim al Charekh. An al Qaeda leader by that name was mourned last year by the Nusra Front, after an attack on Syria's coastal village of Kasab.
Also wanted in Saudi Arabia, he was designated a terrorist last year under sanctions imposed by the U.N. Security Council and the U.S. Treasury Department.
"This operation deals a significant blow to the Khorasan Group's plans to attack the United States and our allies, and once again proves that those who seek to do us harm are not beyond our reach," Secretary of Defense Ash Carter said in a statement.
The Pentagon did not release details on the strike.