In Leipzig, an official was excluded from duty with immediate effect on Friday.
He is said to have made right-wing extremist and racist comments in a chat, as the police said.
There is an "urgent suspicion".
The police department was informed on Thursday by the State Criminal Police Office in Baden-Württemberg about findings from the chat process.
The police did not provide any details about the officer.
Leipzig's police chief Torsten Schultze said he was "very disappointed".
The actions of an individual once again affect the reputation of the entire police force.
"Right-wing extremist ideas have no place in our police. Its existence must therefore not be downplayed and will not be tolerated in our ranks," said Schultze.
The law enforcement officer must now expect criminal and disciplinary consequences.
The "Soko Rex" of the State Criminal Police Office took over the investigation.
In the past few months, right-wing extremism allegations against police officers have arisen in several federal states.
It was only on Thursday that the police announced new numbers on possible right-wing extremists.
According to a report by the State Ministry of the Interior, there have been a hundred suspected cases in North Rhine-Westphalia since the beginning of 2017.
In addition, police officers in North Rhine-Westphalia were suspended from duty for alleged right-wing extremist activities.
In Mecklenburg-Western Pomerania, two officials were excluded from service.
In Frankfurt am Main, too, police officers apparently had right-wing extremist attitudes: five officers and a colleague, most of them from the 1st district in Frankfurt, shared such messages in the WhatsApp group "Itiotentreff".
Similar chat groups were also discovered in Offenburg and Munich.
Icon: The mirror
kha / dpa
