They say U.S. border patrol agents spotted Jose Leos Cervantes and two other people crossing the border into Holland, Vt., at about 10:30 p.m. on Feb. 19.
Police say in a news release that Leos Cervantes collapsed when encountered by the agents and that the other two men ran back toward Canada.
The 45-year-old from Aguascalientes, Mexico, was taken to hospital, and his death is not considered suspicious.
This is the second time this winter a person has died crossing the border—a 44-year-old man was found frozen to death in early January in a wooded area near St-Bernard-de-Lacolle, Que., where police said he was trying to enter the United States.
A 31-year-old Ecuadorian woman from Connecticut was charged last week with unlawfully attempting to transport three individuals within the United States following Leos Cervantes’s death.