Local authorities advised residents to stay inside their homes and call police if they see anything. Residents in surrounding areas were told to stay indoors until all animals were accounted for.
A large search operation was carried out, involving the fire services, the police and veterinarians, the spokesman said.
Local newspaper Trier Volksfreund said the cats were still within the sprawling 30-hectare grounds of the zoo when they were finally located by a drone.
A recent storm caused damage in some parts of the region, though it was unclear whether the animals escaped because of damage caused by the storm.
According to the zoo's website, it is owned by the Wallpott family and has three permanent employees.
To add to the sense of alarm, it was reported that two lions, two tigers and a jaguar had also gone missing.
It was not clear how and when the animals escaped.
Most were found on the grounds of the zoo and returned to their cages. One was captured, the other shot dead.
In an earlier zoo incident two year ago, two lions broke out of their cages at the Leipzig zoo.
He said he heard from officials that two storms had collided to cause unusually heavy rainfall.