An end to the two-metre social distancing rule features on the fronts, along with protests in London.
The blaze claimed 72 lives and more than 70 other people were injured.
The move comes as thousands of non-essential shops in England are set to re-open on Monday
A No 10 source told the PA news agency that the details of the response were yet to be finalised.
Many of those present chanted ‘Tommy Robinson’ and sang the national anthem as violence erupted around London.
Boris Johnson is working with the Education Secretary on a ‘catch-up’ package for children who missed out on learning during lockdown.
The Home Secretary branded the protesters’ behaviour at the far-right protest as “extreme thuggery”.
A picture showing a protester urinating next to the memorial has sparked outrage, with calls made to identify him.
In Glasgow, a separate group had gathered for what they said was protection of the Cenotaph.
A call has been made to identify a man pictured urinating next to a memorial to Pc Keith Palmer.
They were kept apart from another group occupying the city’s war memorial.
The death toll in Northern Ireland has risen to 541.
There were ugly scenes in Whitehall as officers were pelted with bottles by men chanting ‘England’.
Those behind the event said they have no political message.
A new lockdown rule means people living alone in England can now pair with another household for support.
Troops from the Welsh Guards held a small parade at Windsor Castle.
The demonstrators observed social distancing rules where possible, as they gathered in the warm sunshine.