Two thousand websites selling fake luxury goods have been removed since the start of the year, UK police say.
Counterfeit goods from brands such as Burberry, Longchamp and Abercrombie & Fitch were among the products offered.
The raids were the result of a collaboration between brand-protection groups and internet registries.
The Police Intellectual Property Crime Unit, run by City of London Police, also warned the sites could be harbouring malicious software.
"The criminals behind these websites will often take advantage of your personal details, such as financial information, and so people may find their card has been compromised and used for other fraudulent scams," said Det Ch Insp Danny Medlycott, who heads the unit.
"The sites themselves can also be harmful, as they contain malware and viruses that can infect your computer.
As a general rule, "if it looks too good to be true, then it probably is", he said.
And heavily discounted products were "often a telltale sign that something isn't right", he added.
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