The video, which has been viewed nearly 200,000 times on YouTube, has prompted fevered debate in the Buddhist-dominated kingdom over monks' adherence to austere principles which include living without possessions, beyond a handful of robes.
According to one of the monks, who has since been "reprimanded", the jet was chartered by a devotee to fly them home to northeast Si Sa Ket from Bangkok after performing duties in November, said Nopparat Benjawattantnun, director of the National Office of Buddhism.
Virood Chaipanna, director of Si Sa Ket's Office of Buddhism, named the monk as Luang Pu Nenkham Chattigo, 34, from Wat Pa Khantitham.
"Yesterday I went to the temple but he was not there. They said he is in France," Virood said.
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Buddhism is Thailand's state religion and around 95 per cent of the population is believed to follow it -- the highest percentage in the world.
Figures last year from the National Office of Buddhism showed Thailand had more than 61,000 monks.
"To be in the monkhood one should be isolated and content with what one has," said Pra Khru Vinaithorn Teerawit, of the Buddhism Protection Center of Thailand, adding complaints are most commonly made against newly ordained monks.
Referring to the video, he said the public reaction should depend on whether the monks chose to travel by private jet or if it was organised by followers.
"If monks chose to travel by jet then it's not suitable," he said.