Investigators have made a significant progress in the inquiry into the murder of former State Duma deputy Denis Voronenkov in the search for accomplices of the murderer, but so far no one has been detained, Ukraine's Prosecutor General Yuriy Lutsenko has said.

"The investigation has made a serious progress in search of accomplices in the crime," Lutsenko told reporters in Kyiv on Friday, adding that no one has been detained yet.

The prosecutor general said he could not disclose any details in order not to harm the inquiry.

As reported, Voronenkov was killed in downtown Kyiv on March 23. The ex-deputy's guard injured the murderer, who subsequently died in hospital.

Anton Gerashchenko, an advisor to the Ukrainian interior minister, said that the killer is Pavlo Parshov, "an agent of Russian special services who infiltrated Ukrainian defense agencies."

The Security Service of Ukraine is checking whether Parshov was an agent of the Russian FSB.

The STB TV channel's journalist, Olena Lunkova, said on Facebook earlier that Voronenkov's murderer had an accomplice, Yaroslav Levenets, who has been on wanted lists for economic crimes since 2012.

Kyiv prosecutor's office which is in charge of Voronenkov's case hasn't commented the information about Levenets' being on a wanted list.