The men were detained in early morning raids in the Paris region, Normandy and the French Riviera following three months of investigations.
French police said traces of DNA left at the scene led to the arrests.
KIM was robbed at gunpoint in October last year by at least two men dressed as police officers.
The men reportedly entered her luxury apartment before tying her up and locking her in the bathroom.
They escaped with an estimated ten point five million dollars in jewellery.
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