A police statement said the six-seater aircraft travelling from France to the town of Egelsbach south of Frankfurt went down in a field at around 1330 GMT.
Boeing shares down 11% after second 737 MAX crash in 5 months
The cause of the accident was still unclear.
"After impact, the aircraft was completely burnt out," police said.
The police statement said the passengers would probably only be positively identified in the coming week.
However Russian airline S7 said a co-owner of the company, Natalia Fileva, was among the dead.
UN environment talks open under shadow of Ethiopian plane crash
Fileva, whose husband is S7 CEO Vladislav Filev, was listed in 2018 by Forbes magazine as the fourth richest woman in Russia with an estimated fortune of $600 million.
"On March 31, 2019, S7 Airlines shareholder Natalia Fileva was killed at the age of 55 during the descent in a private Epic-LT plane to (a) Frankfurt airport. The cause of the tragedy is not yet known," the company said in a statement.
COMMENTS
Comments are moderated and generally will be posted if they are on-topic and not abusive.
For more information, please see our Comments FAQ