The British government has said Putin is ultimately responsible for the attack, a claim the Kremlin has furiously denied.
"I hope they will turn up themselves and tell everything".
The Russian president said they are "civilians" with no links to the government.
While police and prosecutors have announced they have enough information to charge Boshirov and Petrov, and officers have formally linked the attack on the Skripals to the poisoning of Ms Sturgess and Mr Rowley, the charges do not relate to the Amesbury pair and authorities say they are still investigating this second incident.
The two suspects named by the United Kingdom as being behind the Novichok poisonings have been found in Russian Federation.
The pair survived, and British authorities last week issued a European arrest warrant for Russian nationals Alexander Petrov and Ruslan Boshirov over attack.
We have checked what kind of people they are.
United Kingdom authorities have named the men as Alexander Petrov and Ruslan Boshirov, thought to be officers of Russia's military intelligence service, the GRU.
Vladimir Putin said he knows who and where they are, but that there was "nothing criminal" about their actions.
"There's nothing particularly even criminal about it, I assure you". He added they would contact the media and tell their story soon.
British officials earlier this month charged the two men in absentia with the attempted murder with novichok of Sergei Skripal, as well as his daughter and a policeman who investigated the scene.
Russian Federation retaliated by kicking out a similar number of those countries' envoys.
In a statement that deepened the diplomatic crisis between the two countries, the Prime Minister said: 'The GRU is a highly disciplined organisation with a well-established chain of command.
He said the government had exposed them as GRU operatives - and that is what they are.
They did a reconnaissance mission to Salisbury the following day before returning with poison concealed in a fake Nina Ricci perfume bottle.
British Home Secretary Sajid Javid said on September 9 that Britain will catch the two men and bring them to prosecution if they ever step out of Russian Federation.