In the video, they promise to host parties there, saying: “Oscar built this house to entertain”.
Tenant David Scott also said they intended to decorate the house “in honour of what happened here”.
Pistorius family spokeswoman Anneliese Burgess described the footage as “bizarre” to the South African press.
South African TV channel Netwerk24 was shown round by the new tenants – business partners David Scott and Kagiso Mokoape in a video, which has since been made private.
While apparently drinking a can of beer, Mr Scott told the channel: “This is definitely an entertainer’s house.”
During the video, Mr Scott opens the toilet door, through which Ms Steenkamp was shot four times, to show where she died.
While in the bathroom, Mr Mokoape says: “I feel bad for Reeva’s parents”.
The bathroom has since been refurbished.
The South African parole board is due to decide later this week whether to release Pistorius to house arrest.
He was convicted of manslaughter last year but cleared of murder.
The appeal against his acquittal on murder charges is to be heard next month.
The Olympic athlete insists he mistook his then girlfriend for an intruder.