The Russian ambassador to the UK will be summoned by the Foreign Office, Sky News understands.
It comes after the British Council building in Kyiv suffered major damage in Russian strikes overnight.
The group’s chief executive, Scott McDonald, said their guard for the building was injured but “stable”.
“At the insistence of my amazing colleagues, we will continue operations in Ukraine today wherever possible,” he added.
“Their resilience is awe-inspiring and I am deeply thankful they are all safe.”
Earlier, Sir Keir Starmer said: “My thoughts are with all those affected by the senseless Russian strikes on Kyiv which have damaged the British Council building.
“Putin is killing children and civilians, and sabotaging hopes of peace.
“This bloodshed must end.”
What is the British Council?
The British Council is an arms-length body from the government.
It claims to “support peace and prosperity by building connections, understanding and trust between people in the UK and countries worldwide”.
The group facilitates schemes like working, living and learning abroad for British people.
Most of its funding comes from the fees it charges people for its services, but it does also get funding from the FCDO.