The train derailed Sunday morning near the Spuyten Duyvil station. Four people were killed in the accident.
Acela Express service between New York and Boston will be canceled on Thursday.
Transit authorities say commuter rail service in Connecticut is expected to resume in full by rush hour Wednesday morning.
Two commuter trains packed with rush-hour commuters collided in an accident that sent about 70 people to the hospital, severely damaged the tracks and threatened to snarl travel in the congested Northeast Corridor.
Connecticut Gov. Dannel P. Malloy says a total of 60 people have been taken to hospitals with injuries from a collision between two New York-area commuter trains.