The publisher had previously underlined its separateness from its French namesake, noting that Closer France is published under licence by Italian business Mondadori, which is owned by Fininvest.
"As the owners of the Closer brand and publishers of Closer magazine we have complained in the strongest terms to the licensee of Closer France, over the publication by them of photographs of their Royal Highnesses, Prince William and the Duchess of Cambridge," read the statement from chief executive of Bauer Media Paul Keenan.
"We deplore the publication of these intrusive and offensive pictures and have asked that Closer France takes these pictures down immediately from its website and desist from publishing any further pictures."
It continued: "Bauer Media and Closer UK regards publication of these photographs as a gross intrusion of their Royal Highness's privacy.
"We were not aware in advance of the purchase of these photographs or of any intention to publish. We have absolutely no control over the editorial decisions of Closer France.
"In the light of their publication, we are now urgently discussing this matter with our licensee and reviewing the terms of our licence agreement with Closer France.
"Like our readers we are appalled and regret the pain the publication of these photographs has caused."
Duchess of Cambridge makes first public speech - photo gallery:
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