People in Luenebach, in the west of the country, have been warned to stay inside by police.
A bear also broke out of its enclosure at the Eifel Zoo, near the borders with German media, and Belgium, but it has been shot dead.
According to German media, the animals were able to escape after flooding caused by an overnight storm. It is reported that a river overflowed and wore down fences, allowing the dangerous animals a way out.
Police in nearby Trier said that all of the escaped animals were believed to still be on the grounds of the zoo.
Vets are said to be on sight as well as police and firefighters.
The zoo is home to about 400 animals, many of which are big cats.