The actress said it was an "appalling" time for their family and thanked fans for their support.
Metropolitan Police confirmed an attack, but as is standard procedure they could not reveal the victims' names.
'Officers attended with the London Ambulance Service (LAS).
Liz Hurley has rushed back from the United States after her nephew was stabbed multiple times following a row with a stranger. Another man, believed to be the same age, was also found suffering from stab wounds.
So sad! Elizabeth Hurley's nephew Miles was stabbed multiple times in an attack on March 8. "The police will be appealing for witnesses", Elizabeth Hurley tweeted early Saturday.
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Police have reassured family members and the public that their conditions are "not life-threatening or life-changing".
"They are believed to have been attacked by a group of males who got out of a vehicle and assaulted them before fleeing the scene", officials said.
"A crime scene was put in place; road closures were also in place but have since been lifted".
Liz rushed back to Britain as Mile was fighting for his life in hospital. Nephew Miles is a successful model, having walked in runway shows for the likes of Dolce and Gabbana.
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"Fortunately, it seems the knife missed his vital organs", the insider added.