Police closed Cantitoe Street between Hook Road and Clinton Road for close to four hours after the initial accident report around 6:40 a.m.
The injured men were taken to Westchester Medical Center, and police were able to re-open the section of Route 22 around 10:30 a.m.
The investigation into the accident continues, police said. Information about the extent of the men's injuries has not been released at this time.
Click here to follow Daily Voice Bedford and receive free news updates.