He said Prime Minister Prayut Chan-o-cha on Wednesday directed him to discuss procurement with all producers that have made their vaccines available.
It was intended to acquire vaccines to help cope with the ongoing outbreak.
“Efforts and negotiations with vaccine producers mean that between February and April 2021, at least 2 million doses of vaccine will be initially delivered to Thailand,” Mr Anutin wrote on his Facebook account.
He had informed the prime minister of the result, he said.
The prime minister had promised full budgetary support for the procurement.
Preparations would be made to ensure the vaccine was distributed to at-risk people, Mr Anutin said.
He did not say which vaccine it is.
The government earlier signed an advance agreement with AstraZeneca for the supply and production of its COVID-19 vaccine, but supplies were not expected before May.