The beekeepers believe the source of the problem is a biogas plant close to Ribeauville in Alsace.
It is thought the bees have been eating the sugary waste from M&Ms, small chocolates in brightly-colored shells.
The plant operator said it regretted the situation and had put in place a procedure to stop it happening again.
“We discovered the problem at the same time [the beekeepers] did. We quickly put in place a procedure to stop it,” Philippe Meinrad, a spokesman from Agrivalor, the company operating the biogas plant, was quoted by Reuters as saying.
The company, which deals with waste from a Mars chocolate factory, said it would clean out the containers, store all incoming waste in airtight containers and process it promptly, according to a company statement published in Le Monde newspaper.
Bee numbers have seen a rapid decline globally in recent years.
As for the blue honey, the beekeepers say it is unsellable.
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