I have a 1996 Honda accord Lx 4 cyl. automatic transmission,the transmission does not shift gears even at 4000 rpm's it only goes 38-40 mph. the fluid level is OK,what could be the problem?

For Automatic transmission problem,click the link below:----Overdrive light in the dash blinks? http://repairhelpcenter.blogspot.com/2012/01/overdrive-light-in-dash-blinks.html
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http://howtobyme.blogspot.com/2011/11/automatic-transmission-will-not-go-into.html

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http://schematicsdiagram.blogspot.com/2011/07/how-to-check-automatic-transmission.html

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This will help.

Thanks.

check transmission fluid level- run/drive for about 10 min. , park car- check with engine running- add fluid if needed- ,if fluid NOT low- transmission filter needs to be changed

clearly - this is a shifting solenoid in your transmission. Either the power leading to the solenoid is not functioning properly or the solenoid needs replacing. there's a slim chance that the transmission fluid is low or otherwise shot... as always check the easiest/ most inexpensive fix first.
Best regards
Ck

to me it sounds like the trans computer the trans computer is built into the main computer for the engine i would try that the local junk yard should have one

Depends on the throttle position, there is a adjustment for that transmission. I would suggest someone who has Honda experience, like a dealer.

It could be as simple as your tire balance is off.

It's the "shift" solenoid on your transmission has gone bad. Get it at the junk yard for around $80.00. You want the "shift" solenoid, not the "lock-up" one.You can see it on the front of your transaxle. It has a small electrical plug attached and comes off easily. Both solenoids may be together, or you may only have one. Easy fix, but depending on the doner car, your shift points may change (engine may seem racier)

As a response to solution #1 these cars do have an overdrive while in D-4, mine was shifting in and out at 70 mph until it finally quit and the rpm is now 3100 at 70 mph insted of 2700. The car still shifts 4 full times just not the fifth-OD. I still can't find out what fixes this problem either.

Try checking it out at the shop but i think that you might find that your going to have to replace the clutch.

D4 is drive with over drive when overdrive switch is press in/on position on shift. Good luck and thanks for using FIX YA