The accused were identified as Atiqullah (43), Shal Mohammad (33) and Zabihullah (29), all residents of Afghanistan.
Police have recovered 39 of the 81 stolen carpets and search was on for the remaining.
"They were planning to ship them to United Arab Emirates (UAE) and Afghanistan for disposal," said Deputy Commissioner of Police (southeast) Mandeep Randhawa.
The incident took place on the intervening night of 7 and 8 April at Lajpat Nagar in which 81 Kashmiri carpets worth crores of rupees were stolen.
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Several raids were conducted at suspected hideouts in Delhi, Jaipur and Mumbai and Look out Notices of the suspects were also issued and an alert too was sent to all the airports.
Besides, technical surveillance was also mounted and local intelligence was gathered too, police said.
"Raids are being conducted to recover the remaining carpets as also to apprehend the remaining accused," said Randhawa.
According to police, the trio is known to each other and had come to India on tourist VISA in March 2015.