"The suspect was armed with a firearm and warned the siblings not to scream," said Sibiya.
The armed man took a cellphone and an undisclosed amount of money.
"The suspect then ordered the victim out of bed, and her sister to cover herself with a blanket, as he raped the victim and later fled," said Sibiya.
A manhunt was launched for the suspect and a few weeks later police received more information which linked the man to the crime. He was arrested on Thursday evening.
The 25-year-old is due to appear in the Kagiso magistrate's court on Monday.
Acting station commander Col Peter Mabuso applauded the arrest, saying it would be an example for perpetrators of similar crimes.
"Working together with our communities will go a long way to making a difference and ensuring stability and safety in our areas," said Mabuso.