The justice committees will have to deal with the firing of former National Prosecuting Authority (NPA) senior prosecutors Nomgcobo Jiba and Lawrence Mrwebi, while the finance committees will have to conclude hearings into the collapse of Steinhoff.
The names of chairs come after President Cyril Ramaphosa announced members of his reconfigured Cabinet.
Some of the former chairpersons of committees appointed to the Cabinet include former chair of the energy committee Fikile Majola, basic education chair Nomalungelo Gina and others. Some former chairs did not return to Parliament.
ANC caucus spokesperson Nonceba Mhlauli said the names of people to head committees were undergoing a process in the party, but would be known this week.