Last month Strathclyde Police issued details of Cusick two-and-a-half years after he had disappeared from police supervision. It was later discovered he had moved to Canada.
He was picked up by officers in South Porcupine in Ontario on Thursday.
Canadian police were aware he was in the area and his description was circulated. He was spotted by officers and arrested after he disembarked from a local bus.
Marc Depatie, of South Porcupine police, said: “The South Porcupine crime unit deployed itself in areas likely to yield a sighting of the wanted person and, as it happened, it worked out quite well.
“Thanks to photos provided to assist officers, he was seen walking on Highway 101 toward South Porcupine and was arrested without incident.
“There was no immediate threat to public safety, but, given his background, he has been designated a high-risk sex offender.
“There was no resistance with his arrest. He knew there was a warrant out in his name and for the most part he was compliant.”
Cusick left the police in 1991 and has held down a number of other jobs, including lorry driving, raising concerns that he could be working anywhere in the UK.
Originally from the city’s Pollok area, he signed up for the old City of Glasgow Police on the same day as his identical twin brother and triplet sister. He was married with two children when he was convicted of his offences.
A spokeswoman for Strathclyde Police said: “We are grateful for the positive response that we had to the appeal for information regarding Mr Cusick. We are working closely with our colleagues in Canada and the Procurator Fiscal here has been informed of Mr Cusick’s arrest.”
Police in Canada were unable to say when Cusick had arrived in Canada or give details of his movements since he arrived. Although not considered an immediate risk by Scottish police, the public was advised not to approach him.
Cusick was transported to North Bay, in the Ontario area, where he was expected to be handed over to Immigration Canada personnel. He will be extradited to the UK, where he will face additional arrest warrants in Scotland.
Cusick’s disappearance was revealed by police, who earlier this month also issued photographs of another two missing paedophiles, Indian Surjit Singh and Malawian Frank Mvula, who are also believed to have fled the country.
The force said it knew where all but five of its 1100 registered sex offenders were. Singh and Mvula, both of whom were convicted of indecent assaults on women, had failed to comply with rules under which they must keep in contact with authorities after they leave prison.