According to his agent Peet Van Zyl,the twenty six years old,who is on bail after being charged with the murder,is not mentally ready to return to the track.
It means the six-time Paralympic champion will not compete in the IPC World Championships in Lyon in July.
Pistorius was arrested after shooting Steenkamp dead on 14 February and has not competed since.
The double amputee, known as Blade Runner because of the carbon fibre prosthetic blades he races in, claimed he mistook Steenkamp for a burglar and has denied murder.
On 22 February, Pistorius was granted bail and had certain conditions lifted which meant he could compete in events outside his homeland.
Coach Louw was quoted by Eye Witness News in South Africa as saying his athlete was "nowhere close" to being in a position to train.
Pistorius had not been invited to compete in July's London Anniversary Games, with UK Athletics chairman Ed Warner saying he did not want the meeting to turn into a "media circus".