The regional hunting association has offered a $1,300 reward for information leading to the identification of the culprit.
The wolf is a protected species, and the one killed was put down with a high-powered rifle that only hunters are legally allowed to own.
“The killing of the wolf must be fully investigated and the person responsible must be held to account,” said Kurt Alexander Michael, president of the Rhineland-Palatinate regional hunting federation.
“If it was a hunter, he can expect a high fine and the loss of his hunting license.”
Germany’s wolf population was wiped out by overhunting during the 19th century.
Destruction of its habitat and barriers erected across the landscape during the Cold War prevented the animals from migrating back from Eastern Europe.
Wolves only began returning to the country in 2000, but have mainly been confined to the east of the country.
Only about 100 of the animals are believed to be roaming German forests.
Photo: German Police Handout