Outspoken academic Giles Ungpakorn and former government spokesman Jakrapob Penkair - both of whom live in exile - were among five people the junta has summoned in connection with lese-majeste charges, according to an order on Wednesday night.
The other included London-based hairdresser Chattrawadi Amornpat, 34 known also as "Rose London", Ekkapop Luara, 22 who is better known as "Tung Achiwa" and activist Chupong Thithuan.
Giles has written a book, "A Coup for the Rich", which criticises the 2006 power seizure and the Royal Family. He was charged in January 2009 but fled to England.
Jakrapob, who is believed to be in Phnom Penh, made a speech deemed insulting to the Royal Family on August 29, 2007.
Ekkapop allegedly criticised the Royal Family at a red shirt rally at Rajamangala Stadium in November 2013.
Chattrawadi allegedly posted video clips that criticised the monarchy on a social network site. Her parents have filed complaints against her with the Crime Suppression Division.
Chupong was the host of a radio show on a red-shirt community radio station.
He allegedly criticised the Royal Family during his programme. He has fled to the United States and has been campaigning against the Royal Family with a red-shirt group there.
Junta spokesman Col Winthai Suvari said the authorities would continue to summon people to report to them but if any of those named had difficulties or were inconvenienced they could send a written report or send representatives.
People questioning summons
The orders summoning people have raised questions and strong criticism, as some are not in the position to comply.
Matichon newspaper owner Khanchai Boonpan has been sick and sent his nephew, Matichon general manager Thakoon Boonpan, to inform the junta he was unwell.
Winthai said the junta summoned Khanchai to "adjust" his political attitude but as long as he was indisposed, the authorities would be flexible.
But for those who intend to run away or hide, the authorities would strictly enforce law and order to bring them back, he said.