They include her chauffeur in Paris, Michael Madar. The three were among 17 people arrested in co-ordinated raids across France on Monday.
The driver's brother is still being questioned by police, reports say.
Kardashian West was held at gunpoint and tied up by the robbers while staying at a hotel in Paris in October.
She was targeted at the exclusive flat near Place de la Madeleine while her bodyguard looked after her sister at a nightclub.
The gang stole €9m (£8m; $9.5m) of jewellery, including a diamond ring valued at around €4m.
The two witnesses to the robbery - Kardashian West herself as well the night-watchman - apparently both told police that their aggressors were men "of a certain age". CCTV footage on the street outside also provided crucial evidence.
"We would expect the people who carried out a job like this to be criminals with a certain degree of experience. They would need the connections to be able to dispose of the jewels once they had got their hands on them," one police source told the BBC.
Throughout the inquiry, police have been investigating whether the gang was tipped off that Kardashian West's bodyguard was not at the hotel residence at the time of the robbery.
Among those arrested on Monday were several figures in their 60s and one in his 70s. The raids took place mainly in the Paris region and at Rouen in the north. An Algerian, identified as 72-year-old Pierre B, was detained at Grasse on the French Riviera.
Although there has been no trace yet of Kardashian West's missing jewellery, police did recover an estimated €300,000 during Monday's raids.

Nadine Foster, 18, was a passenger in a Ford Focus when it hit a wall in Stourbridge, in the West Midlands, in April.
She was taken to hospital but died a few days later, police said.
Dylan Stringer, 22, and Joseph Chance, 24, both from Stourbridge, are accused of causing death by dangerous driving and are due before magistrates in Walsall on Wednesday.
Mr Stringer, of Wychbury Road, and Mr Chance, of Murcroft Road, are also charged with causing death by driving a vehicle unlicensed and uninsured in relation to the crash in Hagley Road.
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The attacker made the devices print a warning urging their owners to cut off remote access.
Large printers in offices, domestic devices and tiny receipt printers in restaurants were all caught up in the hack.
The attack came soon after a German academic study found vulnerabilities in a wide range of printers.
Over the weekend, a hacker using the alias Stackoverflowin ran an automated program that scoured the internet for printers that did not have basic security controls switched on.
Once it discovered a vulnerable device, the program made them print a page announcing the invasion and telling the owner to close the "port" used to hijack it.
"For the love of God, please close this port, skid [script kiddie, ie novice coder]," said the message.
Early versions of the program also added ASCII art depicting different robots or a computer.
Also included were an email address and a Twitter handle for Stackoverflowin.
Many people posted pictures of the printed messages to social media and asked questions about what was happening on technical support forums and social networks such as Reddit.
Printers made by HP, Brother, Epson, Canon, Lexmark, Minolta and many others were hit by Stackoverflowin's program.
The hacker said he did not intend to abuse the access he had gained to the printers.
"I'm about helping people to fix their problem, but having a bit of fun at the same time," he told the Bleeping Computer tech news website.
"Everyone's been cool about it and thanked me to be honest."
Last week, computer security researchers Jens Muller, Vladislav Mladenov and Juraj Somorovsky, from the Ruhr University, in Germany, released an academic paper summarising work they had done on printer security.
The trio tested 20 separate printers and found that all of them were vulnerable to at least one type of attack.
They found ways to put the printers in to an endless loop so they were never available to users, or to hijack the devices so they could be used as an entry point to the computer networks on which they sat.
Three people have been released without charge by French police investigating a Paris jewellery robbery that targeted TV reality star Kim Kardashian West.
[NEXT_CONCEPT]
Two men have been charged after a teenage mother died in a car crash.
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A hacker has briefly hijacked more than 150,000 printers accidentally left accessible via the web.