Foreign Secretary Liz Truss, Defence Secretary Ben Wallace and 10 other senior politicians – mostly members of the Cabinet – have also been barred.
Moscow said the decision had been made in retaliation to the UK’s sanctions against it since it invaded Ukraine.
In March, Moscow imposed a similar ban against US President Joe Biden.
The full list is:
Prime Minister Boris Johnson
Foreign Secretary Liz Truss
Defence Secretary Ben Wallace
Deputy Prime Minister, Lord Chancellor, and Secretary of State for Justice Dominic Raab
Secretary of State for Transport Grant Shapps
Home Secretary Priti Patel
The Chancellor Rishi Sunak
Minister of Entrepreneurship, Energy and Industrial Strategy Kwasi Kwarteng
Minister of Digitalization, Culture, Media and Sport Nadine Dorries
Minister for the Armed Forces James Heappey
First Minister of Scotland Nicola Sturgeon
Attorney General for England and Wales and advocate general for Northern Ireland Suella Braverman
Conservative MP and former British Prime Minister Theresa May
In a statement, Russia’s foreign ministry said: “London’s unbridled information and political campaign aimed at isolating Russia internationally, creating conditions for containing our country and strangling the domestic economy” were responsible for its decision.
It added: “In essence, the British leadership is deliberately aggravating the situation around Ukraine, pumping the Kyiv regime with lethal weapons and coordinating similar efforts on the part of Nato.”
Earlier this week, the UK and US governments announced further sanctions on Russia.
The sanctions included financial measures designed to damage Russia’s economy and penalise President Putin, high-ranking officials, and people who have benefited from his regime.
* One person has been killed and several wounded in the missile strikes that hit Kyiv earlier today, Kyiv’s Mayor Vitali Klitschko says.
Klitschko added that medics were fighting for the lives of those who had been wounded.
He added that Russian generals had threatened missile strikes on the capital – and that was what was occurring.
Air defences were trying to protect people, Klitchko added in his update on Telegram, “but the enemy is ruthless”.