"We are contacting relevant groups and nationals where required.”
Around 50,000 to 60,000 British nationals are believed to be in either Israel and Gaza, the Government estimates.
Meanwhile, at least 1000 people have reportedly been killed in Israel over the last three days after Hamas terrorists launched an unprecedented attack on the Jewish state.
Speaking to broadcasters during a visit to east Staffordshire, Sunak added: "I know there will be families who are anxious about their loved ones in the region.
"I want to reassure them we're doing everything we can, working very closely with the Israeli authorities to establish what is happening on the ground, provide support to people where it is needed."