He made the remarks after overseeing the vaccination drive at Bamrasnaradura Infectious Diseases Institute in Nonthaburi province.
Public Health Minister Anutin Charnvirakul became the first Thai person to be vaccinated against Covid-19, followed by Public Health Deputy Minister Sathit Pitutecha, Culture Minister Itthiphol Kunplome, Public Health permanent secretary Kiattiphum Wongrajit, Department of Disease Control director-general Opas Karnkawinpong and Education Deputy Minister Kanokwan Wilawan.
Prayut added that this move was not related to the country's politics.
"The government and medical personnel have overcome this crisis many times so far. This shows that Thailand can contain the spread of Covid-19 effectively," he said.
He added that Anutin currently didn't have any symptoms after the Covid-19 vaccination.