My 1997 Honda accord ex,sometimes,after driving it awhile, it acts like it is running out of gas and studders.It only happens when I make a stop or wait for a traffic signal. Once,I accelerate it runs good. It has a 4 cylinder V-Tech engine. Does anyone know what`s wrong ?

Sounds like your main power relay is acting up and slowly dying. Have it checked and replaced if necessary.

o2 sensor or weak or dirty fuel system or pump

Your problem could have many sources, but I would start by having your fuel pressure checked, especially under load. It sounds very much like your fuel pump is failing. Quite typically fuel pumps will run fine, then not fine, then fine again. Very often they act up while the engine is under load, such as climbing a significant hill, or accelerating suddenly.
Hope this helps you find the problem.

sound like u have an itermittent misfire starting check for tuneup and ad 1 bottle of injector cleaned with a full tank of gass

your gas pump is going bad the sensor is nt responsive to to gas in the pump

change plugs (make sure gap is right), plug wires, coil (if applicable) make sure you are using good fuel i rec'''d conoco gas...
if you had work recently done then i would also trace it back to that.

It sounds like you need a complete tune up and have the cooling system fushed and filled as well. It sound like it needs some TLC.

replace the pass side door lock actuator

Check the catalytic converter. If the carbon monoxide cant get out, it sometimes will act like this. It plugs up over time.

Has it ever been replaced??

I did mine about 2 months before I got rid of my Civic.

By the way, the exhaust system on most Hondas is the Welded, so you have to pull off the whole line from the back of the motor to the muffler.