The presidency said Ramaphosa convened the meeting in his capacity as the leader of government business in Parliament.
Eleven political party leaders have thus far confirmed their attendance.
Meanwhile, opposition parties were expected to ratchet up the pressure on Speaker Baleka Mbete on Tuesday when the National Assembly reconvenes, after riot police were called into the Chamber last week.
Last Thursday, Democratic Alliance and Economic Freedom Fighters MPs jumped to their feet, pointed at Mbete and shouted “you must go” after she tried to restrict their time for motions and stop an opposition filibuster that delayed the adoption of a report absolving President Jacob Zuma of responsibility in the Nkandla saga.
Before the night was out, riot police entered the National Assembly to forcibly eject EFF MP Ngwanamakwetle Mashabela after she called the president a thief, and police ended up in a brawl with DA MPs who tried to block their path.