Mr Surapong said he had discussed the idea with his Cambodian counterpart Hor Namhong, who agreed with it.
The Foreign Ministry last week proposed the establishment of the joint mechanism, which will probably take the form of a joint committee, to handle discussions on the ICJ's Nov 11 ruling.
In a 1962 ruling, the ICJ found Cambodia has sovereignty over the temple. Cambodia has now asked it to rule whether it includes a 4.6 sq km disputed area around the temple.
Prime Minister Yingluck Shinawatra will meet state agencies at the Ministry of Defence today to discuss details of the mechanism.
Mr Surapong said he would propose to Ms Yingluck that Thailand and Cambodia form a joint committee to put into effect the ICJ's ruling.
Regardless of the ruling, Thailand and Cambodia had agreed to negotiate and prevent any border clashes, Mr Surapong said.
Democrat Party leader Abhisit Vejjajiva yesterday urged Ms Yingluck to stay in Thailand for the ruling rather than travelling to Ethiopia on Nov 11, as she plans. Ms Yingluck plans to take a business delegation there.
Mr Abhisit said the ICJ's ruling was important to Thailand.
"If I were the prime minister, I would be on standby here for the ruling," Mr Abhisit, adding the issue concerned the national interest.
Pheu Thai spokesman Prompong Nopparit said the government would ensure the ruling was broadcast live on television and radio.
Meanwhile, two-thirds of 1,477 people surveyed by Suan Dusit Poll believe that both Thailand and Cambodia will benefit from the ICJ's ruling.