Prime Minister Yingluck Shinawatra said she had ordered Interior Minister Yongyuth Wichaidit to study the findings of the TRC's investigation and its recommendations thoroughly.
If the TRC's recommendations are useful and could bring about peace, the government would be pleased to adopt and implement them, she said.
As for the TRC's recommendation for her elder brother and former prime minister Thaksin Shinawatra to end his political roles, Ms Yingluck said she believed Thaksin would agree to the proposal if that was deemed "useful" and would lead to national peace.
The TRC on Monday officially announced the results of its two-year investigation into the 2010 demonstrations, blaming both red shirts and the military for the violence that resulted in at least 92 deaths.
Mr Abhisit said he hoped the Yongyuth-led committee, set up late last year, would respect the TRC's report and its non-partisan intentions.
The Yongyuth-led panel had not strictly followed the TRC's past recommendations but only picked the ones that suited the government's agenda, said the opposition leader.
The publication of the TRC report, meanwhile, has sparked furious reactions from key figures in the red shirt and pro-Thaksin camp.
Pheu Thai list MP Khattiya Sawatdiphol, daughter of Maj Gen Khattiya Sawatdiphol who was gunned down near the Lumpini MRT station on May 13, 2010, accused the TRC of basing its probe results on opinions, not facts.
Instead of vaguely linking the "men in black" with her late father, the TRC should have found out who those black-clad attackers actually were, she said.
The TRC said on Monday it had found evidence that the men in black, who used M79 grenades and rifles to attack security forces, had received support from red-shirt security guards linked to Maj Gen Khattiya.
Ms Khattiya said the TRC must prove its claim that Maj Gen Khattiya was seen at the rally on April 10, 2010, the same day the men in black were sighted, because she could confirm that her father was not at the protest that day.
She said she felt very uncomfortable with the TRC's findings, which shifted the blame to her deceased father who could no longer defend himself.
Jarupan Kuldilok, another Pheu Thai list MP, described the TRC's investigation results as "the same old lie".
She said the TRC has not only failed to prove who the men in black were, but also told tales which were based on nothing but its own hypotheses.
The TRC failed miserably in its task and its members must apologise to the public, said Ms Jarupan.
Pheu Thai list MP Weng Tojirakarn, also a red-shirt protest leader, said the TRC's report was unreliable and had a hidden agenda of justifying the use of force against protesters by the Centre for the Resolution of the Emergency Situation and the Abhisit government.
Nicha Thuwatham, wife of Gen Romklao Thuwatham who was killed on April 10, 2010, during the unrest, told the Bangkok Post that it was a good step for Thailand to issue a report that gathered information about the events.
"I appreciate the effort and caution of the TRC in presenting and explaining those events. I hope the report, which is based on facts, will be followed with proper judicial procedures," she said.
"In fact, I expect the TRC could dig deeper and find out who was or were behind the men in black," she added.
The TRC report said Gen Romklao was among eight security officers who were killed by men in black.