Officers took possession of the private property in Dundalk on Monday after being granted an order by the District Court.
Starting on Tuesday, the house, garden and adjoining ground are being searched and be subject to technical and forensic examinations.
An Garda Siochana said the purpose of the search is to discover any evidence which might provide clues to Kyran’s whereabouts or what has happened to him.
Officers repeated appeals to the public for information about the youngster’s disappearance.
Last week, gardai confirmed they had launched a murder investigation.
Kyran was reported missing from his home in Drogheda on August 30.
Garda Chief Superintendent Alan McGovern said on Tuesday: “The purpose of these searches is to discover any evidence which may provide us with information as to Kyran’s whereabouts, or what has happened to Kyran.
“I must emphasise that the current tenants of this house are not connected in any way with Kyran or his disappearance.”
Despite “extensive enquiries”, police have not been able to locate the boy or find any evidence he is still alive, he added.
However, Chief Supt McGovern did confirm Kyran had been a student at a local school up to “approximately the end of the 2021-2022 primary school year” in Dundalk.
On Monday, Children’s Minister Roderic O’Gorman said he had asked Tusla, the Child and Family Agency, to send its files on Kyran to a panel which looks into the death of any youngster with links to State care.
He said this would not usually happen until an investigation has been completed, but that he has asked the agency to disclose any case files to the National Review Panel.
Mr O’Gorman said it will help investigators understand Tusla’s involvement in the case.
Gardai are appealing to anyone who has any information in connection with Kyran’s disappearance to contact Drogheda Garda Station on 041 987 4200, the Garda Confidential Line on (1800) 666 111, or any garda station.
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