Fuel injector relay drains battery

MAKE, MODEL, YEAR, PLEASE!!!!
Not only that, we need to know what's happening or not happening.

With what little you've given us, here are the possibilities.

Battery, battery wires, battery clamps, alternator, alternator fuse, regulator, starter, seized engine, lifters, crankshaft, camshaft, timing belt, timing chain, spark plugs, plug wires, distributor, fuel, fuel filter, fuel pump, fuel pump fuse, fuel injectors, fuel injector fuse, fuel injector relay, wrong key, key chip, key chip reading system, ignition switch, ignition switch relays, ignition switch fuses, multiple computers, in wrong gear, clutch not pressed, and I'm sure I missed a dozen more.

Find another relay with an identical part number(maybe the fuel pump relay)& swap it in place of the suspect EEC relay.See if the buzzing quits.If it does,the EEC relay is bad.There might be a ac WOT cutout relay or fan relay with an identical part number that you can use instead of the fuel pump relay.The fuel pump relay & EEC relay will both have to be in place in order for the engine to start.A relay should click when you turn the key on,but it shouldn't make a buzzing noise.BTW-the EEC relay is energized when you turn the key on and then it supplies ignition on power to the computer,injectors,solenoids and fuel pump relay.Therefore, if the EEC relay is defective, these components are Not going to work.If you don't hear the fuel pump prime when the key is first turned on,that's a sign the EEC relay is bad.One of the injector wires should have battery voltage, if the EEC relay is powering up.If your vehicle doesn't have a matching relay to the EEC relay(except for the fuel pump relay)just pull the FP relay out and slide it into place of the suspect EEC relay for testing purposes.If the buzzing noise stops,then replace the relay because there's no way to test if the car will start without having both relays in place.

injectors don t click you might want look for relays in that area. if fuel pump relay is clicking look at fuel pressure. To low or to high can cause this to

For 1999 Buick LeSabre - but you took #1 off the list, so here's the whole "failure to start" list:

Priority Action Part Type Cause
1 Inspect Battery Battery Discharged or Faulty.
2 Inspect Battery Cable Corroded, Broken, Shorted or Poorly Connected Battery Cable.
3 Inspect Distributor Cap Distributor Cap Cracked or Burned.
3 Inspect Fuel Filter Clogged or Dirty Fuel Filter.
5 Inspect Ignition Coil Faulty Ignition Coil.
6 Inspect Wireset Worn, Damaged or Faulty Spark Plug Wire(s).
7 Inspect Spark Plug Incorrectly Gapped or Fouled Spark Plug(s).
8 Inspect Starter Starter Motor Faulty.
9 Inspect Fuel Pump Low Fuel Pressure.
10 Inspect Starter Relay Faulty Starter Starter Relay
11 Inspect Fuel Pump Relay Faulty Fuel Pump Relay.
12 Inspect Fuel Injector Pressure Regulator Faulty Fuel Injector Pressure Regulator.
13 Inspect Ignition Switch Improperly Connected or Faulty Ignition Switch.
14 Inspect Starter Motor Faulty Starter Motor
15 Inspect Fuel Injector Dirty or Worn Fuel Injectors.
16 Inspect Fuel Pump Strainer Clogged or Dirty Fuel Pump Strainer
17 Inspect Engine Control Computer Incorrect Operating Information Being Delivered and Sent From The EEC.
18 Inspect Fuel Tank Fuel Tank Empty.
19 Inspect Carburetor Carburetor Flooded or Faulty Choke.
20 Inspect Distributor Rotor Distributor Rotor broken, burned contacts, or loose
21 Inspect Distributor Worn, Loose, or Incorrectly Installed Distributor.

I hope that you have disconnected the battery fire could happen relay click's but will stick at drain could be the fuel pump you hear with the continuse click you might have a shorted starter.I think thats the first place to start.A bad ignition switch will cause this to happen sometimes?

ASD fuse is called an AUTOMATIC SHUT DOWN FUSE. The ASD sense circuit informs the PCM when the ASD relay energizes. A 12 volt signal at this input indicated to the PCM that the ASD has been activated. This input is used only to sense that the ASD relay is energized.
When energized, the ASD relay supplies battery voltage to the fuel injectors, ignition coils, and the heating element in each oxygen sensor. If the PCM does not receive 12 volts from this input after grounding the ASD reley, it sets a Diagnostic Trouble Code (DTC).

Need more info.......It could be the injectors are not pulsating...Check to see if it is spraying fuel from the injectors....If not it should be a clogged fuel filter or a fuel pump....It is almost definite though that it is the fuel pump/sending unit in the tank ...IF it is not spraying from injectors....
Disconnect battery remove main fuel line going in the fuel filter under vehicle frame at drivers side..with drain pan under it of course...Reconnect battery turn engine over and watch for fuel...
You will need an assistant...Most people think fuel is under great pressure but it is not.....If everything works the fuel will come out in a stream...But it wont come out like a bullet...
If fuel comes out Fuel pump in tank is good...Then your problem is at the injectors ...I would change the filter of course anyway...unless you just have...You will see rusty dirt come out of it if it is clogged...It is always good to change fuel filter every 15,ooo....Todays fuel is terrible...I would first check or swap fuel relay with a new relay or identical relay in fuse power block ...Make sure they are all good....................What engine and how many miles ? Hope this helps....Metalpoet

Find the relay making the clicking noise by setting your finger on top lightly, then check map on under side of cover for identification.

if the relay is clicking its working the fuel pump is the problem!!!

Sounds like you have a problem with your fuel injectors, either they are working to much or not enough once they get warm....

Take it to a shop ant tell them you want the injectors tested.