"We know who these people are, we have found them", Putin said in response to question at panel for an economic conference in Vladivostok in Russia's Far East. "There is nothing special and criminal about them, believe me", Putin said, adding that the two were civilians.
British prosecutors issued a warrant for the suspects' arrest last week. "We'll see in the nearest future".
Mr Skripal and his daughter Yulia were left in comas for weeks after being exposed to the nerve agent Novichok, while Dawn Sturgess later died and Charlie Rowley was left in a critical condition after they too came into contact with the substance in nearby Amesbury.
British police said the suspects, both about 40-years old, flew from Moscow to London on Russian passports two days before the Skripals were poisoned.
Meanwhile, the Russian Federation 24 state television channel played what it said was a call with suspect Mr. Petrov, who said he had "so far no comment, maybe later, next week, I think".
Skripal - a former GRU colonel who betrayed dozens of agents to Britain's MI6 foreign intelligence service - and his daughter were found slumped unconscious on a bench in the English city of Salisbury in March.
He said that there was "nothing criminal" about the two men and that he hoped they would come forward and tell their own story, adding: "That would be better for everybody".
"We have repeatedly asked Russian Federation to account for what happened in Salisbury in March and they have replied with obfuscation and lies".
Britain's Home Secretary Sajid Javid said on Sunday that the order to carry out the nerve agent attack on 4 March came from the "highest level" of the Russian state.
Putin and Russian Federation have vehemently denied having anything to do with the poisoning.
Russian Federation had previously said the names given to them by British prosecutors were meaningless.
Mr Rowley is seriously ill and was readmitted to hospital earlier this month after going blind.
CCTV footage from early March shows the pair arriving at Heathrow Airport from Russian Federation, and also in the vicinity of Sergei Skripal's house on the day of the attack.