The Briton, who rides for Team Sky, posted a picture on Twitter of his damaged bike and reported the incident to local police in southern France.
Commissioner Frederic Le Pollozec, of Menton police, said there had not been  significant progress in the inquiry.
"We couldn't find any other person to say anything about the crash," he said.
Froome, 32, is due to begin the defence of his Tour de France title on Saturday. He was not badly hurt in the incident which happened at Beausoleil, near his Monaco home, on 9 May.
Commissioner Le Pollozec said that Froome was unable to remember the car's registration number, or identify the vehicle from CCTV footage.
"We showed him some pictures from the cameras and he couldn't say which one was the vehicle," he said.
"There was a verbal fight between the driver and Mr Froome before the crash, but it is difficult to find the driver.
"We took some pieces of paint from the bicycle of Mr Froome but we couldn't find any evidence to match it with a vehicle.
"For now, the investigation is partially closed because we don't have any more details."

Anders Behring Breivik complained in a letter to the prison service that his coffee is served cold, he does not have enough butter for his bread, and he is not allowed moisturiser.
Breivik is serving a minimum 21-year sentence for the bombings and shootings in Oslo and Utoeya island last July.
The Norwegian authorities have not commented on the letter.
However his lawyer has confirmed that the details of the 27-page document leaked to Norway's VG newspaper are authentic.
Breivik is being held in almost complete isolation - 23 hours a day, he says - at Ila prison outside Oslo.
His cell includes three sections, one to sleep, one for study and a third for exercise - each measuring 8 sq m (86 sq ft).
In the letter, he complains that the cell is poorly decorated and has no view.
"I highly doubt that there are worse detention facilities in Norway," he writes.
'Too cold'
Among his other complaints are:
Ila is an all-male institution which "houses some of the country's most dangerous men", its website says.
However it differs markedly from other maximum security jails in western Europe. The staff is a half-and-half mix of men and women and none are armed.
Breivik massacred 77 people, most of them teenagers at a youth camp run by Norway's governing Labour Party.
His 21-year sentence can be indefinitely extended for as long as he is considered a danger to society.

A spokesman for the bank said they were "working flat out to get these payments updated for our customers no later than Saturday".
Its parent company RBS said about 600,000 payments were affected.
It said it had now identified and fixed the underlying problem.
Ulster Bank said concerned customers should "come into a branch or get in touch with our call centres".
"We will ensure no customers are left out of pocket as a result of this issue," a spokesman said.
In 2012, the RBS group was hit by a major IT meltdown that led to a large fine.
RBS, NatWest and Ulster Bank customers were affected in June 2012 after problems with a software upgrade. On that occasion, the IT failure affected more than 6.5 million customers in the UK over several weeks.
The banking group said it had invested hundreds of millions of pounds to improve its computer systems since then.
Police have been unable to trace a car driver accused of ramming into three-time Tour de France winner Chris Froome while on a training ride in May.
[NEXT_CONCEPT]
The Norwegian convicted of the massacre of 77 people last year has said he is being held in "inhumane" conditions.
[NEXT_CONCEPT]
Ulster Bank is working to restore payments and direct debits that were delayed by a computer glitch involving the RBS group of banks.