"At the conclusion of detailed identification procedure, it has been confirmed that one of the persons arrested happens to be Mullah Baradar," the military said in a brief statement.
"Place of arrest and operational details cannot be released due to security reasons," it added, giving no further information.
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The New York Times and other US media, citing unnamed officials, reported Tuesday that US and Pakistani spies detained Baradar in Pakistan's sprawling port city of Karachi "several days ago" and that he was being interrogated.
Analysts have said his arrest could signal a watershed in Washington's bid to persuade Pakistan to move aggressively against Islamist militants operating on both sides of the Afghan-Pakistani border.
