Besides, Russia was accused of illegal chemical weapon use, which is a violation of the UN Charter.
But the United Kingdom said the assistance in that case was not enough, and in 2016, a judge-led inquiry concluded that Putin had probably approved Litvinenko's murder, something Moscow denies.
Britain's Prime Minister, Theresa May, speaks at the Conservative Party's Spring Forum in central London, on March 17, 2018.
The murder is not believed to be linked to the attack on Skripal and his daughter.
Meanwhile, counter-terrorism police have renewed their appeal for witnesses who may have seen Mr Skripal's burgundy BMW auto in Salisbury on 4 March.
They want to know where the vehicle was between 9:15 a.m. and 1:30 p.m., when it was spotted driving toward the center of Salisbury, 90 miles (145 kms) southwest of London.
Neil Basu, Met Police Assistant Commissioner, said: "We are learning more about Sergei and Yulia's movements but we need to be clearer around their exact movements on the morning of the incident". It says 400 witnesses have already given statements.More news: Lalu Yadav falls ill in jail, admitted to hospital
Britain's foreign ministry said it had anticipated Russia's response and the National Security Council would meet early next week to consider next steps.
Former Russian double agent Sergei Skripal, 66, and his daughter Yulia, 33, were found unconscious on a bench outside a shopping center in Britain's southwestern city of Salisbury on March 4.
But Russian lawmaker Konstantin Kosachev blamed Britain for the escalating tensions. Moscow and London have both ordered diplomats expelled in the deepening dispute.
The British Council said in a statement it is "profoundly disappointed" at its pending closure.
It said it was responding to "provocative actions" and "unproven accusations" by Britain.
British Ambassador Laurie Bristow, who was summoned the Foreign Ministry in Moscow on Saturday to be informed of the moves, said the poisoning was an attack on "the worldwide rules-based system on which all countries, including Russian Federation, depend for their safety and security". "We will always do what is necessary to defend ourselves,"the ambassador told reporters".
Russian news agencies cited politicians in Russia's upper house of parliament as welcoming the move to close the British Council, alleging it had been used as a cover by British spies.More news: Senator Ali Wakili laid to rest in Abuja
It also said it would halt the activities of the British Council, the country's global organisation for cultural relations, in Russian Federation.
It ordered the diplomats to leave within a week.
The Foreign Ministry added that Moscow retained right to respond if the United Kingdom continued to take unfriendly steps against Russian Federation. They remain in critical condition in hospital.
"There is a certain British protocol in cases when the ambassador is summoned to the Foreign Ministry".
The British Embassy in Moscow told CNN it had been given a list of 23 specific individuals that were to be expelled from Russian Federation.
"Our quarrel is with Putin's Kremlin, and with his decision, and we think it is overwhelmingly likely that it was his decision to direct the use of a nerve agent on the streets of the United Kingdom, on the streets of Europe, for the first time since the second World War", Johnson told reporters in the British capital. Putin's spokesman denounced the claim.More news: Parkland school shooting surveillance shows resource officer's response