South African state prosecutors have fizzled in their offered to challenge the six-year sentence for homicide passed on to Oscar Pistorius.

Prosecutors portrayed the Paralympic competitor's discipline for murdering his better half Reeva Steenkamp in 2013 as "shockingly permissive".

At the hearing in Pretoria, Judge Thokozile Masipa said the appeal had no sensible prospect of accomplishment.

The state now has 21 days to take its case to the Supreme Court of Appeal.

Pistorius, 29, was given a five-year term for homicide in 2014, yet was discovered blameworthy of homicide last December after an indictment request.

He shot Ms Steenkamp through a bolted can entryway and said in his resistance that he mixed up her for a gatecrasher.

The judge said at the sentencing that she had veered off from the base 15-year sentence in light of "convincing individual circumstances".

She said relieving circumstances, for example, restoration and regret, had exceeded exasperating components, for example, his inability to discharge a notice shot.