The force is now investigating an online image which shows Chief Constable Dave Thompson with a gun pointing to his head.
Across his eyes is a banner saying “race traitor”.
A spokesman for West Midlands Police said they were aware of the post and were making attempts to trace those responsible.
It was reported that the image, which was posted online last Friday, was shared along with the addresses of West Midlands Police’s station buildings, custody suites and training centres.
Police stations were said to be called “high value targets” in messages posted on encrypted mobile messaging service Telegram.
Other posters apparently called for the release of a right-wing extremist or “your heads will be our agenda”.
Mr Thompson reportedly received the death threats after officers in the West Midlands arrested a suspect, who is currently in custody.
The post stated Mr Thompson was “responsible for the arrest of a 16-year-old National Socialist.”
The image added: “Our comrade will be free.”
It is reported that leaders of the group, called the Feuerkrieg Division, said: “The people working in these buildings are race traitors.’”
The group’s name is derived from the German for ‘fire war’ and is said tobe inspired by the US-based Atomwaffen neo-Nazi group.
The Feuerkrieg Division said far-Right extremists were “white freedom fighters”.
The group is said to have members in the UK, America, Canada, Estonia and Germany. It is reported to have celebrated a terror attack which killed 77 people in Sweden.
A West Midlands Police spokesman said: “West Midlands Police is aware of offensive images relating specifically to the force on social media.
“Enquiries are on-going to trace those responsible for the posts.”
Security Minister Brandon Lewis said: “Any threat to our police officers is despicable.
“They work tirelessly to keep us all safe and we continue to support them as they work to tackle crime and the terrorist threat in all its forms.”
The mocked up photo is reported to be similar to a threat made to Prince Harry by teenage neo-Nazi follower.