In their RT television interview, the two men, who gave their names as Alexander Petrov and Ruslan Boshirov, said they had visited Salisbury as tourists and had nothing to do with the attack on the Skripals.
The Kremlin added that if Britain was to make a request to interview the two men, it would consider it.
"We arrived in Salisbury and tried to walk through the town, but we lasted for only half an hour because it was covered in snow", Petrov said.
The suspects, Alexander Petrov and Ruslan Boshirov, said they were simply tourists catching the sights in Salisbury.
The men's surprise public appearance came a day after Russian President Vladimir Putin said that Russian authorities know the identities of the two men, but insisted that they are civilians and there is "nothing criminal" about them.
The pair, who the United Kingdom suspect of being members of Russia's GRU military intelligence agency, complained their lives had been "turned upside down" and RT said they sounded distressed during the interview.
The man, who identified themselves as suspects Alexander Petrov and Ruslan Borishov, told the pro-Kremlin news channel RT that they travelled to the southern English town of Salisbury to admire its cathedral and ancient clock.
"The last time Russian military claimed to be on holiday was when they invaded Ukraine in 2014", Foreign Secretary Jeremy Hunt tweeted. Simonyan said they refused to elaborate on their backgrounds or show their passports on camera.
"The only thing I can agree with them on is that Salisbury is a fantastic place, and I will be doing all I can with business leaders to promote tourism next year and beyond".
The police have set out very clearly the evidence against these two men.
He said: "Of course, we went there to see Stonehenge, Old Sarum, but we couldn't do it because there was muddy slush everywhere".
Both men on Thursday denied that they are GRU agents or that they were in possession of the Soviet-made Novichok nerve agent.
The UK believes the two to be operatives of the Russian military intelligence agency GRU.
Former Russian military intelligence colonel Sergei Skripal attends a hearing at the Moscow District Military Court in Moscow on August 9, 2006. They added that they would like to receive an apology from British officials.
He added that "from the very beginning, Russian Federation has emphasized its desire to co-operate to clarify the circumstances of what happened in Salisbury and track down the culprits", but "the British side has strongly rejected such co-operation".
One user compared Petrov and Boshirov, who said they were businessmen working in the fitness industry, to the burglars in the movie "Home Alone".
"They are believed to have taken a similar route when they returned to London on the afternoon of Saturday, 3 March". You'll have to ask the English why show us with the same timestamp.
That was when a former Russian double agent and his daughter were stricken by a military-grade nerve agent, Novichok, that almost killed them.
Boshirov said his life had been turned "upside down", according to RT.
The network broadcast the interview with the suspects in the Novichok poisoning of Sergei Skripal and his daughter Yulia in the United Kingdom on Thursday, even as it faces multiple ongoing investigations by media regulator Ofcom into its coverage of the attack in March.