Celebrity website TMZ, which first reported the story, said the 51-year-old sought treatment at Cedars Sinai hospital in Los Angeles after feeling weakness in one of his legs after a flight from Costa Rica to the US.
It is unclear exactly what his current condition is, however, the director is still under medical care, according to TMZ, and doctors are keeping him for further testing and rehab.
The stroke was reportedly "mild".
"We ask that privacy be given to him and our family at this time and appreciate all of the prayers that have been pouring in from his fans, friends and colleagues", the statement said.
After news of Singleton's health began circulating, celebs took to social media to share their support and prayers for the director and his family.
The rapper Snoop Dogg shared a picture of the pair together on Instagram, writing: "Pray 4 my brother". The world needs your voice and vision. He was the youngest person to be nominated for Best Original Screenplay as well.
He boast some 19 directorial credits over his almost 30-year career, including titles like Poetic Justice, starring Janet Jackson and the late Tupac Shakur; Higher Learning; 2 Fast 2 Furious; The People vs. OJ Simpson: American Crime Story; Billions and FX's hit series Snowfall, which is now in production for Season 3.
Singleton's most recent work has included executive producing the FX drama series "Snowfall".