More than 6,000 of the island’s 20,000 residents have left in recent days, according to Greek public broadcaster ERT. Additional flights from the island to Athens have also been scheduled.
Local media have shown pictures of long lines of vehicles waiting to catch ferries from the Greek island as tremors continue.
A total of 37 earthquakes exceeding magnitude four were recorded in the period from Saturday afternoon to Monday evening (3 February) along with numerous smaller tremors.
Residents are anxious as the last major earthquake to hit Santorini, in 1956, killed 53 people.
Schools were closed on Monday (3 February) and hotel and villa owners told to drain swimming pools to mitigate potential damage. However, scientists said a major eruption was “ruled out” and the situation “winding down”.
The Foreign Office is continuing to advise UK nationals to avoid port areas and those where a landslide risk is high, while the Greek National Tourism Organisation continues to monitor the situation.