The BBC reported that former spy Sergei Skripal, 66, and his daughter, Yulia Skripal, 33, remain critically ill in hospital after being found slumped on a bench in Salisbury, in Wiltshire, on 4 March.
Sergei Skripal moved to Salisbury after being jailed for passing Russian state secrets to British intelligence while working for the Russian government in the 1990s.
Meantime, the U.S. announced new sanctions against 19 Russian individuals and groups over malicious cyber activity including meddling in the 2016 U.S. election and cyber attacks.
Britain, France, Germany and the United States condemned a nerve agent attack on a Russian ex-spy and his daughter, saying there was "no plausible alternative explanation" to Moscow's involvement.
May has blamed Russia, expelled 23 Russian diplomats and suspended high-level contacts with Moscow.
Mr Lavrov's comments come after Prime Minister Theresa May accused Russian Federation of being involved in Mr Skripal's poisoning, describing the incident as Russia's "indiscriminate" and "reckless" attack against the UK.
Corbyn condemns Salisbury attack
She condemned them as "shocking" and "outrageous" and suggested Labour MPs who supported her approach would condemn them too. He said that Russian Federation was "directly or indirectly responsible" for the attack but "culpability takes many forms".
More: Ex-double agent poisoned.
According to the minister, Russian Federation received no official request from Londonon the issue of the Skripal case.
Russia has repeatedly denied responsibility for the attack and promised retaliatory measures against May's decision to expel 23 Russian diplomats from the United Kingdom.
But in a series of British media interviews early on Thursday, Johnson said the evidence of Russian guilt was "overwhelming" because only Moscow had access to the poison used and a motive for harming Sergei Skripal.
Speaking in parliament Wednesday, PM May pointed the finger firmly at Russian President Vladimir Putin, Reuters reports.
She said the attack is a crime and a challenge to the rules-based worldwide order and must be addressed with the support of the global community.
"He once again expressed his full support for the United Kingdom as a close and strong ally", a readout of the call said.
Russian Ambassador to the United Nations Vassily Nebenzia speaks during a Security Council meeting on the situation between Britain and Russia, Wednesday, March 14, 2018 at United Nations headquarters. "It's something that should never, ever happen and we are taking it very seriously".