Slamming the investigation as a whitewash, lawmakers demanded that Zuma and his ministers be held accountable for the scandal and questioned the influence of the wedding's well-connected hosts.
The South African-based Gupta family sparked a furore by flying in a wedding party from New Delhi to the high security air force base where they received a red carpet welcome last month.
The probe found that Zuma, who has close ties to the wealthy family, was not involved in the case.
Any finger pointing at a cover-up was "clearly misplaced", he said.
More From This Section
But this was solidly rejected by the opposition.
"We cannot sit back and allow ministers to get off the hook by hanging a few 'rogue officials' out to dry," said MP David Maynier of the main opposition Democratic Alliance.
"Ministerial heads must roll."
Zuma was the "root cause" of what has been dubbed Guptagate, charged Maynier, who called on South Africans to "fire" him in polls next year.