South Africa's African National Congress (ANC) has suggested forming a government of national unity after losing its parliamentary majority in last week's elections.

It says it has reached out to all parties but negotiations are still underway.

"The results indicate that the South Africans want all parties to work together," ANC spokesperson Mahlengi Bhengu-Motsiri told journalists.

The ANC got about 40% of the vote, with the centre-right Democratic Alliance (DA) on 22%, the MK party of former President Jacob Zuma on 15% and the radical Economic Freedom Fighters on 9%.

Under South Africa's proportional representation system, any government would need to be formed of parties which together got more than 50% of the vote.

Ms Bhengu-Motsiri said the ANC has had discussions with the DA, the EFF and other smaller parties.

She revealed that despite reaching out to MK, there has been no positive response.

Forming a government of national unity would allow the ANC to sidestep the dilemma of who to work with.

Forming a coalition with the DA would have angered many party activists who see it as representing the interests of the white minority - a charge the party denies.

While working with two radical parties that broke away from it - MK or the EFF - would have alarmed the business community, as they both favour seizing white-owned land without compensation and nationalizing the mining sector.

While it will be difficult to get such bitterly opposed parties to agree on common policies, Ms Bhengu-Motsiri was optimistic.

"We believe that despite any differences we may have, working together as South Africans, we can seize this moment to usher our country into a new era of hope," she said.