Police shot dead the workers during a protest over wages at the Marikana mine in August 2012, claiming they were acting in self-defence.
The Farlam Commission was set up by Mr Zuma to examine exactly what happened.
Opposition parties and human rights groups want the findings to be made public.
A government statement said Mr Zuma would “prioritise consideration” of the report following his state visit to Algeria.
But Deprose Muchena, Amnesty International’s Regional Director for Southern Africa, said Mr Zuma must make its release “a priority”.
“The surviving victims of the tragic events of Marikana and the families of all those who died have a right to receive justice,” he said.
No-one has been charged or held responsible for the killings.
Lawyers for the dead miners’ families have made accusations of a cover-up, describing the killings as revenge by the police for earlier deaths at the mine.
In the days before the shooting, 10 other people died at the site, including non-striking miners, security guards and two police officers who were hacked to death.