It did not name the family, but Canadian Joshua Boyle and his American wife Caitlan Coleman were kidnapped by the Afghan Taliban during a backpacking trip in Afghanistan 2012, and are known to have had at least two children while in captivity.
In Pakistan, its military said in a statement that US intelligence agencies had been tracking the hostages and discovered they had come into Pakistan on October 11 through its tribal areas bordering Afghanistan.
Ms Coleman had told her family she gave birth to two children in captivity.
An American woman, her Canadian husband and their three children were rescued Wednesday after years in "terrorist custody", according to multiple reports.
The rescued hostages "are being repatriated to their country of origin", it added.
The U.S. has criticized Pakistan for failing to aggressively go after the Haqqanis.
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"They were captured by terrorists from Afghanistan in 2012 and kept as hostages there", the ISPR handout said.
Coleman's parents last heard from their son-in-law on October 8, 2012, from an internet cafe in what Boyle described as an "unsafe" part of Afghanistan.
The Afghan government has captured several senior members of the Haqqani Network and U.S. officials believed the Taliban faction had hoped to exchange American hostages for their release.
Defense Secretary James Mattis and Gen. Joseph Dunford told Congress last week Pakistan would no longer be a sanctuary for terrorism.
The Taliban continue to hold other western hostages including U.S. citizen Kevin King, 60, and Australian citizen Timothy Weeks, 48.