The 33-year-old had been last seen with his beagle called Bane in the Lost Valley area last weekend. Searches were launched after he failed to return home to West Yorkshire on Tuesday as planned.
Their bodies were recovered by mountain rescue teams and the Coastguard on Saturday afternoon.
Police Scotland said: “Around 2:15pm on Saturday, February 25, the bodies of a man and a dog were recovered by mountain rescue teams and HM Coastguard in the Glencoe area.
“They have now been identified as Kyle Sambrook and his dog Bane, who were reported missing earlier this week.
“Kyle’s family wish to thank all involved in the search and have requested their privacy be respected. There do not appear to be any suspicious circumstances and a report will be sent to the procurator fiscal.”
Mr Sambrook left his home in West Yorkshire on Saturday February 18, to walk and wild camp in Glencoe.
Concern had been raised for his welfare after he failed to return home on Tuesday as planned.
Mr Sambrook had originally been planning to ascend the 1,022m mountain Buachaille Etive Mòr.
Brian Bathurst, deputy team leader of Glencoe Mountain Rescue Team, told the Mirror the landscape gardener may have been carrying his dog when he fell almost 100ft in “appalling” weather conditions.
Rescue teams which were involved in the search for Mr Sambrook also extended their sympathies to his family.
Glencoe Mountain Rescue Team posted on Facebook: “Yesterday afternoon, volunteer rescuers searching for Kyle Sambrook found the bodies of a man and a dog in a deep gorge above the Fionn Ghleann.
“An attempt was made to recover them by helicopter but was unsuccessful due to the terrain, the helicopter was then re-tasked, meaning they had to be lowered and carried off the hill by hand.”
They added: “Our thoughts are with Kyle’s family and friends at this time.”