According to Interfax-Ukraine news agency, Mr Babchenko appeared alive during the news conference of Vasyl Hrytsak, the head of the SBU.
"Special apologies to my wife, Olechka; there was no other option", Babchenko said.
Says he had to stage his own murder in order to capture someone, apologises to his wife.
In the autumn, Babchenko moved to Kiev, where he worked as a host for the Crimean Tatar TV station, ATR.
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Mr Babchenko, 41, emerged at a police press conference this afternoon in front of journalists, who had been expecting updates on the investigation into his murder.
"I can now reveal details of the SBU special operation, thanks to which we were able not only to thwart a cynical provocation, but also document the Russian special service's preparations for this low crime", Gritsak added.
Mr Babchenko fought in the Russian army in Chechnya, and then became a war reporter for several Russian newspapers.
He fled Russian Federation in 2017 after receiving death threats over a post he made on social media. His flight from Russian Federation came several months after he wrote in a Facebook post that he wasn't sorry members of a military band and state television journalists died in a plane crash on their way to Russia's military base in Syria.
Reporters Without Borders, a free press advocacy group, condemned the faking of Russian journalist Arkady Babchenko's death in an attempt to gather information on the Kremlin's alleged attempts on his life, as the nonprofit said "there can be no grounds for faking a journalist's death".
The Kremlin described such allegations as part of an anti-Russian smear campaign.