Anshul Sharma, 30, died on the spot while his wife Samira Bharadwaj, 28, was injured critically in the accident on Sunday evening. Both pedestrians were from Columbus city of Indiana, said the police.
A 36-year-old man, Michael Demaio, was arrested by the police. He was driving a red Chrysler minivan and hit the couple from behind near Four Seasons Retirement Centre in Columbus, reported the Republic newspaper on Tuesday.
The accused later fled the scene.
Mr Sharma was pronounced dead at the scene by a Bartholomew County Coroner while Ms Bharadwaj was later transported to a hospital in Indianapolis.
Demaio "failed several field sobriety exercises", the police said. The minivan was found with substantial damage to its hood and a cracked windshield.
Meanwhile, family and friends of Mr Sharma continued their efforts to take his body back to India and to support his wife, who was in a critical condition.
There were several messages on Twitter on Tuesday seeking help for the family.
A spokeswoman of Cummins, a diesel engine manufacturer in Columbus, where Mr Sharma worked as an engineer, said the company was in constant communication with Mr Sharma's family and providing support in efforts to return his body to India.