When you turn the key on should there be power to fuel pump. If yes

You should hear the pump in the gas tank turn on for 2 seconds when you turn the key to on, not start. A buzz or hum from the tank area? If yes, the pump is supposed to put enough pressure in the line to the engine and the injectors for the car to start. Maybe not enough pressure if it won't start. Change the fuel filter and try again. If no help, maybe a weak, tired pump. You will need the fuel pressure checked to compare to specs for your model . Autozone and others rent or loan fuel pressure testers.

If no noise from the pump, check the fuel pump fuse, under the hood in the power distribution center or fuse/relay box. In that same place is the fuel pump relay. Locate the pump relay from a diagram on the fuse/relay cover. Hold your finger lightly on this pump relay while someone cycles the ignition key from off to on. If the pump circuit is working right, you should feel the relay click. That should send power to the fuel pump to turn it on for that 2 second period. If you feel it click and the fuse is good, possibly the pump or the pump's ground wire is faulty. If you don't feel the relay click with key turned to on, the fuel pump circuit will have to be diagnosed. Good luck with your project. Let me know how you progress.

Do you have a test light? If not, go buy a cheap $5 test light-one with a lead to clip to a ground, and with a needle type probe.
Pull the fuel pump relay out of the terminals it is plugged into-you need to check if the power feed for the pump is still available at the relay. Clip the test light lead to a ground and touch the test probe to the positive battery post-to check that your ground is good- tester should light up. Now touch the probe to all of the terminals that the relay plugs into. One terminal should have power with key off. If no terminals have power, you have lost the power feed for the pump. Double check all your maxi fuses in the power distribution box. Either a maxi fuse or a fusible link will be the power feed for the fuel pump relay.
If the power feed is there at the relay, try a new relay. If still no pump, a shop will probably have to check your fuel pump circuit.
Did you check for power at the fuel tank while the key was held in crank? When the engine is cranking, the fuel pump wire should have power. When the key is turned to on, the fuel pump should have power for about 2 seconds, to pressurize the fuel system. Then when key is turned to crank or start, the fuel pump should stay on.

Begin by checking fuses. Ignition, efi, fuel pump fuses. When key turned to on, do the warning lights and gauges work? That verifies switch has power and is sending power out. With key on, the coil primary wire to coil packs should have voltage.

No spark and no gas? Fuel pump fuse good? I think I would use a test light or multimeter to check that fuel pump fuse terminal has power to it with key on. If that's good, pull connector off at fuel tank and check for a voltage signal on fuel pump wire when the engine is cranking-if good signal, fuel pump needs taken out for replacement or inspection. If no signal check that fuel pump relay has power to it. With key off, pull the relay and check that one terminal has power to it-the feed wire for the pump. If no power signal at all, check maxi fuses or fusible links for a failure.

If you have no fuel pressure at the engine when key is on, the pump is not coming on. Check fuel pump fuse, check fuel pump relay (relay should click when key turned to on-put finger lightly on it and feel for click when someone turns key to on). If no click, signal from computer may be lost, ground for relay may be lost, or relay may be bad. If it clicks, wiring from relay to pump may have failed, or the relay's main power source may not be there at relay-find the fuse link or maxi-fuse that powers that relay. One terminal at relay should be hot at all times-can check for that with a test light.
If pump is working and you do have fuel pressure, you will need to check injector circuit. Post back if questions, or need further help.

There would be a fuel pump fuse, either under dash or under hood. Check that fuse, use the test light to see if fuse has power. If not, then it might be a fusible link or maxi-fuse that feeds the fuse panel. If fuse has power with key on, pull the relay, and use the test light and probe relay terminals, key off. One terminal should be hot at all times. If not, check for power loss between battery and relay terminal-possibly a maxi-fuse or fuse link.
If relay does have power to terminal, quickly check other terminals while someone turns key to on-for about 2 seconds, another terminal should show power-this would be signal from computer to turn the relay on to prime the lines and fuel rail. If you have that, plug relay in and cycle key. Does relay click? If yes, relay is working and problem may be at fuel pump connector. If relay is not working, but you have power to it, and the short signal from computer is there, then check the relay's coil side ground. Computer signals the coil side and the signal goes to ground from relay coil side.
Pull the relay and use a jumper wire from relay's hot terminal to fuel pump terminal-the wire to pump from the relay. If pump comes on, the problem is right there at the relay-either no signal from computer or the relay coil's ground is lost. If pump does not come on, again check connector at pump-that or the wire to pump[ has a problem.

You said you hear the pump come on, then said fuel pump not running ???
Check the fuse for the pump, preferably with a test light to verify power is there. Key must be in on position. If the fuse is powered, feel for the fuel pump relay to click when you turn key to on. Put your finger on it while someone turns key to on. If it clicks, check for power at the tank connector on the pump wire, while the engine is cranked. If power there when cranking, the pump must have failed and needs replacing. If the relay clicked with key on, and no power at the pump wire at tank while cranking, then check wiring from relay to pump connector-the fuel wire may have broken.
If the relay doesn't click when key turned on, check for the power feed for the pump at the relay terminal. If the relay has power available to be transmitted to pump, then the relay's signal from the computer or the ground side of the relay's coil signal (from the computer) may need checked.
If the pump is working, and you have good pressure in the lines, check the injector circuit. Also a fused circuit, so check the fuse first. The injector should have a steady voltage signal to it with key on. The injector only has two wires, the power wire and the ground wire which goes to the computer. When the computer momentarily grounds the injector circuit, the injector "pulses", causing fuel to spray out the bottom.

Model? Year?

Check per owner manual to be sure inertia switch is not tripped. Remember, fuel pump only runs for 5 seconds when key is turned ON, then it shuts off if engine is not running. Pump always runs when key is in START position.
Listen for pump to run inside fuel tank for 5 seconds after key is ON.

The PCM power relay turns on the PCM and the PCM turns on the fuel pump relay, which turns on the fuel pump.

See owner manual forfuse & relay charts.

yes that sounds like an inoperative fuel pump but before condemning the pump make sure you have key on power to the pump by checking the fuse and relay.

If you do not have power on the GRAY wire at the fuel pump.........
switch the fuel relay with a same type good relay in the relay box and check for power again.
REMEMBER ...YOU WILL ONLY HAVE POWER 2 OR 3 SECONDS AT PUMP AFTER KEY IS TURNED TO RUN POSITION......after key has been off for 10 seconds.(or when there is oil pressure)
If no power in the gray wire at this point and you have checked ALL fuses in engine compartment and on right (pass ) side of dash panel facing pass door.......add your own jumper to supply power to system at fuel pump fuse and test again.........if power at pump now....install a permanent jumper (SWITCHED POWER....OFF WITH KEY) at fuse box......if still no power check all connections between fuse box and pump.....or run new power feed wire to pump gray wire and disconnect old.

Hey Longshot,

Absolutely. They are normally in with the engine compartment fuses. When you find it, either switch it with one of the others or jump the Common and Normally Open leads.

The pump should engage when you turn the key On for the former.
The pump should engage immediately on the latter.

This will tell you only if the relay is good or bad.

Mike