A spokesman with the U.S. Army Corps of Engineers says the removal process is deliberate, methodical and time-consuming and could possibly take until Saturday.
The engine was located Tuesday, and Divers confirmed it was the engine the following day.
The rest of the plane was taken by barge to New Jersey for examination.
Bird Radar Could Be Expanded To All N.Y.-N.J. Airports
Authorities said they want a sophisticated bird-detection system at New York City area airports.
He said the system is already slated to be deployed at Kennedy airport. The system beeps when birds fly near a jet, allowing air traffic controllers to warn pilots.
Flight 1549 departed from LaGuardia on Jan. 15 before the pilot reported bird strikes. Both engines were knocked out, forcing the pilot to ditch the plane in the river
The National Transportation Safety Board discovered a feather on one of the plane's wings.