Organisers first postponed the festival last month, saying that they would aim to stage it in June or July this year.
But in an updated statement, they said that plan was now “no longer an option” after France extended its lockdown measures this week until 11 May, and stated that public events could not be held until mid-July at the earliest.
They did not elaborate on what the alternatives could be but said they hoped "to communicate promptly”.
The prestigious festival was originally scheduled to take place in the south of France from 12 to 23 May.
When the festival was first postponed, its president, Pierre Lescure, said he was “reasonably optimistic” it would still go ahead this year.