The UK government will pay to charter the flight, which will depart from Beirut-Rafic Hariri International Airport, but British nationals will be expected to pay a fee of £350 per seat.
British nationals and dependants will be eligible to request a space on the flight. Any non-British dependants boarding the flight will require a visa, granted for at least 6 months, to enter the UK.
Any further flights in the coming days will depend on demand and the security situation on the ground, the Foreign office said.
“The safety of British nationals in Lebanon continues to be our utmost priority,” Lammy said.
Last week Sir Keir Starmer told British nationals in Lebanon to “leave immediately” after fighting intensified between Israel and Hezbollah, the Iran-backed armed group which dominates the country.
Britons had previously been advised to book flights out of the country – but there were limited options available, with most airlines except the national carrier having cancelled flights.
The Ministry of Defence (MoD) has sent nearly 700 troops to nearby Cyprus to prepare for the possible evacuation of British nationals from Lebanon and the government “continues to advise against all travel to Lebanon”.
In Lebanon, officials say more than 1,000 have been killed in the past two weeks, while up to a million people may now be displaced.
Tensions have been growing across the Middle East since Hamas gunmen attacked Israel on 7 October last year, killing about 1,200 people and taking 251 others as hostages.
The Israel military campaign in Gaza in response to the Hamas attack has killed more than 41,000 people, according to the Hamas-run health ministry.
Previously sporadic fighting between Israel and Hezbollah escalated on 8 October – the day after Hamas’s unprecedented attack. Hezbollah fired at Israeli positions, in solidarity with Hamas.
Hezbollah has launched more than 8,000 rockets at northern Israel and the Israeli-occupied Golan Heights. It has also fired anti-tank missiles at armoured vehicles and attacked military targets with explosive drones.