The Russia President spoke to local television about the US President’s remark. Mr Putin also rejected claims Russia attempted to kill opposition politician Alexei Navalny.
Responding to Mr Biden’s comment – in a moment of a clear tension between the two superpowers – Mr Putin referenced childhood friction on the playground.
He said: “You know I remember in my childhood, when we argued in the playground we used to say, ‘It takes one to know one’.
“And that’s not a coincidence, not just a children’s saying or joke. It has deep psychological meaning.
“We always see our own traits in other people and think they are like how we really are.
“And as a result we evaluate [a person’s] actions and give assessments.”
READ MORE: Joe Biden ordered to apologise after Vladimir Putin branded ‘killer’
On Wednesday, Mr Biden agreed Mr Putin is a “killer” when being interviewed by ABC News.
After US intelligence agencies shared reports claiming Russia interfered in the 2020 election, Mr Biden said Moscow “will pay the price”.
Asked what the consequences would be, he told ABC: “You’ll see shortly.”
Jen Psaki, White House spokesperson, added: “Certainly the Russians will be held accountable for the action they’ve taken.”
Other Russian leaders condemned Mr Biden’s claims.
Kremlin spokesperson Dmitry Peskov said: “These are very bad statements from the president of the United States.
“He clearly does not want to improve ties and we will have to proceed from that understanding.”
Andrei Turchak, a senior politician in the ruling United Russia party, bitterly blasted Biden, describing the interview as a “triumph of US political insanity and old-age dementia of their leader”.
Konstantin Kosachev, the deputy chair of the Russian parliament’s upper house, added Moscow would probably take further steps “the American side does not offer an explanation or apology”.