Mr Pistorius visited correctional officers in the capital, Pretoria, spokeswoman Lunice Johnston said.
Earlier, prosecutors said a probation officer would go to his home twice a week before his trial began on 4 June.
The 26-year-old has admitted shooting dead his girlfriend Reeva Steenkamp on 14 February, but denies murdering her.
Prosecutors say the pair had an argument before Ms Steenkamp, 29, was killed, but Mr Pistorius says he mistook her for an intruder.
‘Committed to legal process’
A large number of local and international journalists gathered outside the Brooklyn police station in Pretoria on Monday morning, hoping to catch sight of Mr Pistorius.
Earlier reports had said the double-amputee athlete would have to sign in with police on Mondays and Fridays between 07:00 (05:00 GMT) and 13:00 (11:00 GMT).
The requirement had been agreed by both the prosecution and defence teams, but Chief Magistrate Desmond Nair did not include it in his final order granting Mr Pistorius bail on Friday, prosecutors said on Monday.
“The National Prosecuting Authority has confirmed that the condition that he report to the Brooklyn police station has not been made an order of court,” one official said.
Instead, a probation officer will go to Mr Pistorius’s residence twice a week. He is currently staying at the home of his uncle, Arnold, in the Pretoria suburb of Waterkloof.
Ms Johnston told reporters that he had nevertheless reported to the authorities on Monday morning, but would not say where.
“[Mr Pistorius] takes this trial very seriously. He takes the conditions very seriously and he will comply with all those conditions,” she told the South African Press Association. “He does not want to do anything to impede his case. He is committed to the legal process.”
The magistrate set bail for Mr Pistorius at 1m rand ($113,000).
He was also ordered to hand over his passports and any firearms; not to leave the capital without his probation officer’s permission; not to consume drugs or alcohol; and to keep away from his home in a gated community in the capital, which is still a crime scene.