IndyCar confirmed the 37-year-old died on Monday and described him as "one of the most respected members of the paddock".
Justin Wilson
- Born in Sheffield in 1978
- Tallest person to have raced in Formula 1
- Winner of 2012 24 Hours of Daytona
- Leaves behind a wife and 2 children
The former Formula One driver, who was competing for Andretti Autosport, suffered a head injury when Sage Karam's car crashed in front of him at Pocono Raceway in Pennsylvania on Sunday, 180 laps into a 200-lap race.
Originally from Sheffield, he leaves behind his wife Julia and two young daughters.
In a statement on his website, his family, including parents Keith and Lynne and brother Stefan, said: "Justin was a loving father and devoted husband, as well as a highly competitive racing driver who was respected by his peers.
"The family would like to thank the staff at the Lehigh Valley Health Network Cedar Crest Hospital, Pocono Raceway, Andretti Autosport, and the Verizon IndyCar Series as well as the entire racing community for the amazing outpouring of support from fans around the world."
Fellow IndyCar and former Formula One driver Juan Pablo Montoya tweeted: "Tough day in motorsport today as we lose another great person and driver. RIP Justin. You will be missed. Thoughts and prayers for his family."
Four-time Nascar Cup Series champion Jeff Gordon said: "So sad to hear that we lost Justin Wilson today. Thoughts & prayers to his family and friends."
Holly Wheldon, brother of Dan Wheldon, an IndyCar driver killed in 2011, tweeted a picture of her brother Dan with the message: "May these two gorgeous British boys rest in peace together.
"No words, just heartbreaking. My thoughts and prayers are with the Wilson family. RIPJustin."