One problem related to transmission solenoid has been reported for the 2001 Lincoln LS. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2001 Lincoln LS based on all problems reported for the 2001 LS.
Car transmission suddenly stopped working, and the car would not move. Now only drive and reverse work, so the car starts off in drive and accelerates very slowly. Does not shift to overdrive or downshift to lower gears. Replaced solenoid block for $400 and have it in transmission shop now. Mechanic clears codes, and all failure codes then reappear the moment the engine is started.