Mr Burt said his thoughts and prayers went to the two Israelis' families, and added: "All human life, Palestinian and Israeli, is sacred.
"One of the recurring tragedies of this conflict has been the role played by violent extremists in derailing any progress towards peace.
"We cannot allow extremists to determine the path ahead. The peace and security that the vast majority of Israelis and Palestinians want and deserve, can only come through negotiations, not through violence.”
Palestinian Nidar Amar - who had previously worked with Sgt Chazan in a local restaurant - was arrested by Shin Bet officers on Saturday and apparently later confessed to killing him.
In Hebron, the aftermath of Sgt Koby's death saw Israel evacuate 11,000 people who were visiting the city for Succot.
