The decision comes after the council began a review last weekend of all 16 council blocks over six storeys high that have cladding, plus another 23 without cladding.
Regulations in England currently mean that only buildings constructed since 2007 and which are taller than 30m are required to have sprinklers fitted.
Alison Butler, deputy leader and cabinet member for homes, regeneration and planning, said: “This council is committed to installing fire sprinklers in 25 council blocks with 10 storeys or taller because last week’s tragedy showed we all need to bolster fire safety measures for our residents.
“I will also be writing to the Government challenging them to give us more support in our plans to make our borough safer..”
Croydon wants the Government to extend its borrowing powers to fund the major retrofit .
It said the plan was to start work on the estimated £10m programme as soon as possible in the hope that work could be completed within three months.
