"We had a miracle on 34th Street. I believe now we have had a miracle on the Hudson," Gov. David Paterson said.
One victim suffered two broken legs, a paramedic said, but there were no other reports of serious injuries.
, 57, of Danville, Calif., an official familiar with the accident told The Associated Press. Sullenberger is a former fighter pilot who runs a safety consulting firm in addition to flying commercial aircraft.
Sullenberger, who has flown for US Airways since 1980, flew F-4 fighter jets with the Air Force in the 1970s. He then served on a board that investigated aircraft accidents and participated later in several National Transportation Safety Board investigations.
The plane, an Airbus A320 that had taken off minutes earlier from LaGuardia Airport bound for Charlotte, N.C., was submerged up to its windows in the river when rescuers arrived in Coast Guard vessels and ferries. Some passengers waited in water up to their knees, standing on the wing of the plane for help.
In an emergency, the Airbus jet is designed to fly on one engine to a nearby airport but this seems to be the rare case where a plane lost both engines, reports CBS News correspondent Randall Pinkston.
"To lose both engines is a one in a million shot," Peter Goelz, the former managing director of NTSB, told Pinkston.
Police drivers had to rescue some of the passengers from underwater, Mayor Michael Bloomberg said. Among those on board was one infant who appeared to be fine, the mayor said.
Helen Rodriguez, a paramedic who was among the first to arrive at the scene, said she saw one woman with two broken legs. Fire officials said others were evaluated for hypothermia, bruises and other minor injuries.
The crash took place on a 20-degree day, one of the coldest of the season in New York. State environmental officials estimated the water was 41 degrees.
"It would appear that the pilot did a masterful job of landing the plane in the river, and then making sure everybody got out," Bloomberg said.
Passenger David Sanderson told CBS News anchor Katie Couric that he heard an explosion.
"And I looked down, and I saw some flames coming out from underneath the wing and I showed the guy next to me and I said 'something happened,'" he recalled.
After staying on the plane to make sure everyone got out, Sanderson said he "jumped up and tried to swim to the first boat I could find."
"Fortunately, someone pulled me up on the boat because I didn't have much use of my lower extremities at that point and they pulled me up and threw me on the boat and thank God that they did," he told Couric.
Passenger Jeff Kolodjay of Norwalk, Conn., said he heard a single explosion two or three minutes into the flight. He said looked out the left side of the plane and saw one of the engines on fire.
"The captain said, `Brace for impact because we're going down,"' Kolodjay said. He said passengers put their heads in their laps and. He added: "It was intense. It was intense. You've got to give it to the pilot. He made a hell of a landing."
During the descent, the plane cleared the George Washington Bridge by only 900 feet, reports CBS News correspondent Bob Orr.
Eyewitness Nick Prisco told CBS News the plane came down with no noise, "like it was gliding."
Witnesses said Sullenberger appeared to guide the plane down. Bob Read, a television producer who saw the crash from his office window, said it appeared to be a "controlled descent."
Paramedics treated at least 78 patients, fire officials said. Coast Guard boats rescued 35 people who were immersed in the frigid water and ferried them to shore. Some of the rescued were shivering and wrapped in white blankets, their feet and legs soaked.
US Airways Flight 1549 took off at 3:26 p.m. It was less than a minute later when the Sullenberger reported aand said he needed to return to LaGuardia, said Doug Church, a spokesman for the National Air Traffic Controllers Union. He said the controller told Sullenberger to divert to an airport in nearby Teterboro, N.J.
The plane splashed into the water roughly off 48th Street in midtown Manhattan.
"By our calculations, it hit the water by about 150 miles an hour. It is remarkable that it did little damage to the aircraft, it did not break the fuselage," said Orr, who is an aviation expert.
Bank of America and Wells Fargo said they had employees on the plane. Charlotte is a major banking center.
The Federal Aviation Administration says there were about 65,000 bird strikes to civil aircraft in the United States from 1990 to 2005, or about one for every 10,000 flights.
"They literally just choke out the engine and it quits," said Joe Mazzone, a retired Delta Air Lines pilot. He said air traffic control towers routinely alert pilots if there are birds in the area.
The Hudson crash took place almost exactly 27 years after an Air Florida plane bound for Tampa crashed into the Potomac River just after takeoff from Washington National Airport, killing 78 people. Five people on that flight survived.
On Dec. 20, a Continental Airlines plane veered off a runway and slid into a snowy field at the Denver airport, injuring 38 people. That was the first major crash of a commercial airliner in the United States since Aug. 27, 2006, when 49 people were killed after a Comair jetliner mistakenly took off from the wrong runway in Lexington, Ky.