I had this same problem with my Honda. I figured out through a process of elimination that the door remotes lost part of their signal to turn the alarm off. The solution? Search Wiki for how to reprogram your remote key fob. This will restore the signal coding to properly unlock and turn off your alarm. Just reprogram the remotes and this should solve your problem.
In order to disarm a Honda Accord alarm, first you need to put the key in the driver's side lock. Then you need to twist it quickly from left to right.
The 2001 Honda Accord has 16 valves.
The 2001 Honda Accord has a 5-speed manual.
The 2001 Honda Accord is a gas-powered vehicle.
The 2001 Honda Accord has an inline 4 engine.
The 2001 Honda Accord is 15 ft. 9.4 in. (189.4 in.) long.
The height of the 2001 Honda Accord is 4 ft. 8.9 in. (56.9 in.).
The 2001 Honda Accord has single overhead cam (SOHC).
The 2001 Honda Accord's turning circle is 36.4 ft..
The 2001 Honda Accord runs on regular unleaded.
The 2001 Honda Accord has 42.1 in. of front leg room.
The 2001 Honda Accord has 37.9 in. of rear leg room.