BERLIN (AFP) - A plane crashed in Germany on Sunday (March 31), killing three people, police said, including one of Russia's richest women.

Ms Natalia Fileva, a co-owner of private Russian airline S7, was identified by the company she co-owns as among the victims who died in the accident.

A police car racing to the scene of the crash collided with an other vehicle, killing the two people inside and seriously injuring three police officers, the DPA news agency reported.

The plane crash involved a six-seater aircraft travelling from France to the town of Egelsbach, south of Frankfurt, which went down in a field at around 1330 GMT, police said.

A second passenger, also believed to be Russian, and the pilot were also killed.

Ms Fileva, whose husband is S7 chief executive officer Vladislav Filev, was listed in 2018 by Forbes magazine as the fourth richest woman in Russia with an estimated fortune of US$600 million (S$813 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.

"After impact, the aircraft was completely burnt out," police said.

The police statement said the passengers would probably be positively identified only in the coming week.