Democratic Party of Korea floor leader Rep. Park Chan-dae speaks during a press conference at the National Assembly in Seoul, Dec. 22. Yonhap

The main opposition Democratic Party of Korea (DPK) on Sunday urged acting President Han Duck-soo to quickly promulgate special counsel bills against President Yoon Suk Yeol and first lady Kim Keon Hee, vowing to hold him accountable if he fails to do so.

DPK floor leader Rep. Park Chan-dae made the call as Han faces a decision on whether to veto the opposition-led bills, mandating special probes into Yoon's short-lived martial law declaration on Dec. 3 and allegations against first lady Kim Keon Hee.

"If acting President Han does not promulgate the special counsel bills by Tuesday, (we) will immediately hold him responsible," he said in a news conference at the National Assembly in western Seoul, apparently indicating the DPK would push for his impeachment.

Park said a special counsel investigating insurrection charges against Yoon would be "most rational," also adding there was no reason to delay an investigation into allegations against first lady Kim over stock manipulation and interference in election nominations.

The National Assembly passed the two bills earlier this month in the aftermath of Yoon's short-lived martial law imposition.

The ruling People Power Party (PPP) slammed the DPK's call, describing the bills as being intended to paralyze state affairs.

"(The bills) were designed by the DPK with the ulterior motive of paralyzing state affairs and the ruling party," PPP floor leader Kweon Seong-dong said.

On Thursday, Han vetoed six other contentious bills passed by the National Assembly, marking his first use of the presidential power since assuming interim leadership after the National Assembly voted to impeach Yoon on Dec. 14.

Han has been named a suspect in a police investigation into the short-lived imposition of martial law, undergoing questioning over his attendance at a Cabinet meeting as prime minister just before Yoon's martial law declaration.

The minor opposition Rebuilding Korea Party said Sunday that it has drafted a motion for Han's impeachment, accusing him of "silently agreeing" with Yoon's martial law declaration.

Rep. Kim Sun-min, the party's acting leader, urged the DPK to submit the impeachment motion against Han should he fail to promulgate the two special counsel bills by the Tuesday deadline.

An impeachment motion against a Cabinet member requires support from at least 100 lawmakers to be introduced at the National Assembly. The Rebuilding Korea Party has 12 seats in the 300-member parliament, while the main opposition DPK holds 170.