A statement from local police says the break-ins occurred at the weekend near the city of Kastoria, which is the centre of Greece's fur industry.
Regional TV channels showed farm employees chasing the animals with fishing nets on Monday.
The National Fur Breeders' Association says most of the released animals are likely to die in the late-August heat.
It says the cost to the farm owners could pass €1 million ($1.27 million).
No group has claimed responsibility for the incident.
But an animal rights group, calling itself the "Hawks of Reprisal," said it was responsible for a similar break-in last year.