Joaquin Guzman Lopez, the son of the infamous cartel kingpin "El Chapo," had surrendered voluntarily while his father's former partner Ismael "El Mayo" Zambada seemed to have been taken against his will.
The US embassy in Mexico said on Friday.
Both Zambada and Guzman Lopez have pleaded not guilty to drug trafficking charges in the United States, and their lawyers offered contrasting versions of their arrests.
Zambada's lawyer said Guzman Lopez and six men in military uniforms "forcibly kidnapped" his client near the Sinaloa state capital of Culiacan and flew him to the United States against his will. The Guzman family lawyer denied kidnapping and called it a voluntary surrender after extended negotiations.
The murky circumstances leading to the Sinaloa Cartel members' US arrest last month caused Mexico's president to reproach the Latin American nation's neighbour for lack of cooperation.
"No US resources were used in the surrender. It was not our plane, nor our pilot, nor our people," the embassy said in a statement.
It added that no flight plan had been shared with US authorities; the pilot was neither a US citizen nor had he been hired by the US government.
"This represents a great victory for both countries," the embassy said in the statement. It is the result of very precise work based on the principles of respect for our respective sovereignties, and we do this work as partners."

8 Israeli airstrikes hit Syria's Abu al-Duhur airbase, state TV reports
Two killed in high school shooting in southern Philippines, officials say
Pakistan top court orders ex-PM Imran Khan be moved to hospital from jail
Russian missile attack kills 10 in Ukraine's Kharkiv region, governor says
Trump says Iran won't make deal he thinks is needed
