Images show a packed RAF plane that includes embassy staff, British nationals and those eligible under the Afghan to settle in Britain.
Operation Pitting is supported by 1,000 British troops – including Paras from 16 Air Assault Brigade – as well as other Whitehall staff.
The Ministry of Defence said that nearly 4,000 people had been evacuated from Afghanistan since August 13.
Those repatriated include embassy staff, British nationals, those eligible under the Afghan Relocation and Assistance Policy (Arap) programme and a small number of nationals from partner nations.
In a statement issued by the Foreign Office, Sir Laurie said: “The scale of this effort is enormous and is without a doubt the biggest international challenge I have worked on as a diplomat.
“Lives are at stake and I am incredibly proud of the tenacious efforts of my team during these challenging times, with military and civilian staff working together to successfully evacuate thousands of people in the last week.
“We will continue to work tirelessly to get British nationals, Afghan staff and others at risk out of the country as quickly as possible as we also support Afghanistan’s long-term future.”