Did anyone know what wrong when every time you step on the brake the brake light come on and stay on until you turn off the car. so, I think the brake light is out but is not out. they all working. this happen every when driving.

In Canada it's mandatory to have DRL(Daytime Running Lights). Your Corolla probably has this feature built in. it is a safety thing however I can understand you wanting them off if it's not the law where you live.
In our 1998 Corolla, I use the parking brake all the time - every time I park - and I've noticed the lights do not come on until I release the parking brake after starting the motor. When I park the car, until I shut off the engine, the lights stay on regardless of the parking brake status however, if I shut off the engine and restart with the parking brake on, the lights do not come on.
If you "adjust' the parking brake switch(i.e.: make e-brake light in your dash it stay on all the time) your lights will not go on until you turn them on via the multifunction lever(left side of wheel). This of course negates the benefits of the e-brake light working correctly (warning you that your e-brake is on or that your brake fluid level is low) which in itself is not so safe!
There is a fuse/relay (I think) in the big fusebox under the hood that has a DRL "spot", you might want to check if you can remove it and still turn the lights on manually when you want them on. Alternately, there is a fuse in the interior fuse box(in Canadian models anyway) labelled DRL. When that fuse is out, it seems the lights only turn ob when I turn them on manually.
Hope this helps and God bless,
Gilbert

It is not normal. I would say your break switch is sticking. There is a button on the end that sometimes gets stuck. It turns your brake lights on and off.

In addition to indicating when your parking brake is applied, the brake light is also a fault warning. There is probably someting wrong with your brakes, or at least your car thinks something is wrong. You should inspect the brake system, especially looking for any fluid leaking either at the wheels or in front of the driver seat under the car. Also check the brake fluid reservoir. Let us know what you find out.

Take it to a different shop. Something is wrong with it. However, when the airbag light is on, that means the airbag will not deploy in an accident. You should have that fixed first. The dealership is the best option for making the keyless entry work. If this was at all helpful, please rate. Thanks for asking.

Possibly that the brake light switch - it tells the lights to go on when you step on the brake - is bad and keeps that lights on all the time. Also bad if you'd be driving and drivers think you have the brake on all the time.

A brake light bulb is burned out.

I know that chevy vehicles in 04 and up have the lights stay on for about 1 minute until they turn off. Now if your lights stay longer than a minute then you can have the wires cross at some juncture

check the brake light switch. its on the top of the brake pedal.

it may have fallen out of its holder, or has failed.

you know you use the brakes over 200 times a day in normal driving.

look up under feet area brake peddal has a switch hooked to brake peddal could be bad switch or something catching it! good place to start!

if you follow your brake pedal up youll see usally a white colored plastic a plunger type switch it looks like a threaded rod thread it until the brake lights go off ,youre trying to push the plunger in,turn it just untill the lights go off,if it does it again its probally skipping on the threads and youll have to replace it