Coast Guard members rescued two boaters who fell out of their vessel early Sunday morning near Moriches Inlet after it broke free of its anchor and into pounding surf, officials said.

Both boaters were pulled from the water by rescuers, treated for symptoms of hypothermia and taken to the hospital, officials said.

About 1 a.m., the Coast Guard Sector Long Island Sound’s Command Center received a distress call from the disabled 19-foot recreational boat advising it had lost power and the anchor was not holding, according to a Coast Guard report of the incident.

The vessel was pushed out of the inlet and through breaking surf, causing one of the people aboard, a 41-year-old man, to sustain a back injury when he fell, the report said.

A Coast Guard unit from Station Shinnecock arrived and located one of the boaters in the water near the boat. A flashing strobe light on the other boater’s life jacket led rescuers to him as he bobbed in the water, officials said.

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Both boaters were taken to Oaklands Marina in Hampton Bays, where emergency medical services were waiting to treat them before transporting them to Peconic Bay Medical Center in Riverhead, Coast Guard officials said.

No information on the condition of the boaters or their identities was available Sunday evening.