ALBUQUERQUE — Tensions flared on Friday between federal authorities in Arizona and residents of a Native American reservation straddling the border with Mexico after a video surfaced in which a Border Patrol vehicle appears to hit a man from the tribe before driving away.

The video, which was recorded on the phone of the victim, a member of the Tohono O’odham Nation identified as Paulo Remes, spread quickly on social media after several tribe members and Indivisible Tohono, an organization focused on the impact of border policies, posted the footage on Twitter and Facebook.

“They just ran me over, bro,” Mr. Remes is heard saying on the video. He told The Arizona Daily Star that he was taken to a nearby hospital for treatment of injuries from the incident, which took place on Tohono O’odham land about 60 miles southwest of Tucson. Mr. Remes appeared to be standing in a dirt road facing the vehicle when it made contact, knocking him to the ground.

Mr. Remes told the newspaper that the driver of the vehicle did not stop.

The United States Border Patrol said in a statement that it was “actively investigating” the incident. “We do not tolerate misconduct on or off duty and will fully cooperate with all investigations of alleged unlawful conduct by our personnel,” the Border Patrol said.