Pretoria police have confirmed that a 30-year-old woman has died after being shot on Thursday morning at the home of Paralympian Oscar Pistorius.

A 26-year-old man has been arrested, a police spokeswoman confirmed to Press Association Sport, with local reports claiming that the person is Pistorius. The spokeswoman declined to confirm the identity of the man in custody.

"I can confirm that a woman has been fatally wounded in a shooting at Oscar Pistorius' house," the spokeswoman said. "A 26-year-old man has been taken into custody."

The spokeswoman added: "The incident happened at 3am. We received a call and attended the scene. The call did not come from the man in custody but from another person. Currently there is an inquiry into what happened."

The incident occurred at Pistorius' home in the Silver Lakes area of Pretoria. The dead woman is widely reported in South Africa's media to be Pistorius' girlfriend. The spokeswoman, Lieutenant Colonel Katlego Mogale, said police responded quickly to the emergency call in the early hours but were unable to save the woman.

Double amputee Pistorius has emerged as the biggest star in the Paralympic movement and is known as the 'Blade Runner' because of the ground-breaking prosthetics he uses when competing.

He won two gold medals and one silver at the London 2012 Paralympics, having made history weeks earlier by competing in the Olympic Games for his country, becoming the first amputee sprinter to do so. He competed in the 400m and 4x400m relay at the Olympics.

The Johannesburg-born athlete, who was born without fibulas in his legs and had the limbs amputated below the knee when he was 11 months old, had to win a legal battle over his blades with the International Association of Athletics Federations (IAAF) in 2008 for the right to compete in able-bodied competition.

The spokeswoman said the arrested man had not been charged but could face magistrates later in the day.

Reports in South Africa, naming Pistorius, said he may have mistaken his girlfriend for a burglar. However police could not confirm that had been the case as investigations continued into the incident.