The royal command was issued yesterday citing Article 171 of the Constitution, which empowers the King to appoint the prime minister and not more than 35 other ministers to constitute the Council of Ministers.
Abhisit was appointed by royal command on Wednesday after winning a vote in the House of Representatives on Monday.
The new Cabinet members, led by Abhisit, are scheduled to have a royal audience to be sworn in at the Chitralada Palace on Monday, a source said.
All the 36 Cabinet members - 24 of them serving for the first time - are expected to gather at Government House at 3pm on Monday for a group photo before proceeding to the palace for an audience with His Majesty at 5pm, according to the source.
There are three deputy prime ministers: Suthep Thaugsuban, Korbsak Sabhavasu, both from the Democrat Party, and Sanan Kachornprasart, from the Chart Thai Party.
Satit Wongnongtaey and Virachai Virameteekul are Prime Minister's Office ministers.
General Prawit Wongsuwan, former commander-in-chief of the Army, is the defence minister.
The finance minister is Korn Chatikavanij with Pradit Patarapra-sit and Pruektichai Damrongrat as deputy finance ministers.
Foreign affairs minister is Kasit Piromya, a former ambassador. Tourism and sports minister is Chumpol Silapa-archa, a former senator and younger brother of ex-PM and disbanded Chart Thai Party leader Banharn Silapa-archa.
Social development and human security minister is Witoon Nambutr.
Agriculture minister is Theera Wongsamut, and his deputy is Chartchai Pukkayaporn.
Transport minister is Sophon Saram, with Prajak Kaewklahan and Kuakul Danchaiwijit as his deputies.
Suwit Khunkitti is the natural-resources and environment minister, Ranongruk Suwanchawee the information and communications-technology minister and Wannarat Charnnukul the energy minister.
Commerce minister is Pornthiva Nakasai; Alongkorn Pollabutr is her deputy.
Interior minister is Chaovarat Chanweerakul, who was the caretaker prime minister in the outgoing Cabinet. Boonjong Wongtrairat and Thaworn Senneam are deputy interior ministers.
Pirapan Salirathavibhaga is justice minister, Phaithoon Kaeothong labour minister and Teera Slukpetch culture minister. They are all from the Democrat Party.
Science minister is Kalaya Sophonpanich. Education Minister is Jurin Laksanawisit, and his two deputies are Chaiwuti Bannawat and Narisara Chawaltanpipat.
Public-health minister is Witthaya Kaewparadai, and Manit Nop-amornbodi is his deputy.
Charnchai Chairungrueng is industry minister.