The Kremlin expects no improvement in the relationship between the UK and Russia.
The leader of the country's Conservative Party was named on Monday and will become prime minister on Tuesday.
Like Boris Johnson, she has criticized Russia for invading Ukraine.
The spokesman for the Kremlin said that he doesn't think there will be a warming of relations between Britain and Russia.
According to the Russian state news agency Tass, Peskov said that no improvement for the better may be expected after the announcements about our country.
He didn't know if Putin would congratulate her.
Peskov said on Monday that it was hard to imagine anything worse than the current UK- Russian relationship.
The prime minister candidates were competing in anti-Russian rhetoric.
The Russian Foreign Minister said in February that dealing with the Foreign Secretary was like talking to a deafness person.