Local authorities have advised residents to stay indoors and call the police if they saw any of the animals.
A bear, which also broke out of the Eifel Zoo in Lunebach on Friday, was shot dead.
It is believed the animals escaped for their cages after flooding from a storm overnight. Zookeepers said the five big cats had all been fed the day before their escape.
Numerous police, zookeepers, and firefighters are combing the zoo looking for the animals before they wandered into the town. It is home to some 400 animals, including around 60 exotic and native animals, according to Eifel Zoo's site. At the zoo, which is located on a riverbank, the water was knee-high.
In an earlier zoo incident two year ago, two lions broke out of their cages at the Leipzig zoo.
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The 74-acre zoo offers many attractions including a cable vehicle and a miniature village.
A bear has been shot just outside of its enclosure, say a spokesman for the zoo.
The zoo, which has more than 70,000 acres, is privately owned and is home to both native and exotic animals.
In the end, a drone sighted the remaining escapees inside the zoo compound.