US President Donald Trump, has thanked the Pakistani government after the Pakistan Army recovered a Canadian family that had been held hostage by the Afghan Taliban.

“Today they are free. This is a positive moment for our country's relationship with Pakistan. The Pakistani government's cooperation is a sign that it is honoring America's wishes for it to do more to provide security in the region. We hope to see this type of cooperation and teamwork in helping secure the release of remaining hostages and in our future joint counterterrorism operations,” said Donald Trump, in a statement released by White House.

The hostages are "safe and sound and are being repatriated to the country of their origin", the army said in a statement, after the rescue in Kurram district, part of the semi-autonomous tribal belt along the Afghan border.

"Pak Army recovered 5 Western hostages including 1 Canadian, his US National wife and their three children from terrorist custody", it said of the operation, which was launched after Pakistani authorities received intelligence from US officials.

Canadian Joshua Boyle and his American wife Caitlan Coleman were kidnapped by the Afghan Taliban during a backpacking trip in Afghanistan 2012, and are believed to have had at least two children while in captivity.

Meanwhile, the parents of Joshua Boyle thanked the Pakistan Army for rescuing their son and his family.

Parents of Canadian citizen Joshua Boyle thanking Pakistan Army for rescue of their son & his family. pic.twitter.com/0rXiGGkvcj

— Maj Gen Asif Ghafoor (@OfficialDGISPR) October 12, 2017