''We can't get through,'' a local said. ''The airport road is closed now.''
Riot police were reported earlier in the day to have been sent to Surat Thani and Krabi Airports to prevent the facilities being occupied or besieged.
A Government spokesperson was quoted earlier in the day as saying authorities would not allow the airports to be closed because it would tarnish Thailand's image.
A protest by rubber farmers who want the Government to subsidise falling prices has grown more intense this week with highways and roads in Rayong, Surat Thani and Nakhon Si Thammarat being blocked.
Although rubber is grown on Phuket, there has been no sign so far of the protest spreading to the holiday island.
The Peoples Alliance for Democracy movement occupied and shut down Phuket International Airport for 72 hours in August 2008 as a prelude to a much larger invasion of both of Bangkok's main airports later that year.
The airport invasions led to the transfer of power from a Thaksin Shinawatra-supporting government to the Democrat Party. Three years later, the Democrats lost a national election.