97 Honda accord dies while on the road, but doesnt die while idling

Is your check engine light on. I would look at a couple of things. The distributor, if there is bad wiring it can cause the car to cut off. The igniter / ignition control module, if you unsure how to test it with a test light then take it off and go to a parts store like advance auto parts, they can test it for free. The ignition coil, the 90's accords and civic's had a problem with the coil failing while driving, if it looks burnt at the tip where the distributor contacts the coil, replace it. I'd also check the fuel pump relay, it may seem like it's working fine but relays can sick open or closed, or even act like a circuit breaker when heated to much.