"ABS light ON" 2005 Nissan altima 3.5 SE when I start the engine with the engine already warmed up. If the engine is cold usually the first time I start in the morning the ABS light is off. PLs help

The self-diagnostic that runs upon start-up, the Air-bags, ABS, and more you won't feel or hear vibration from that. That does not answer your question, but somebody steered you wrong there. If you hear a very quiet buzz, and a VERY slight vibration, that MAYBE is the fuel pump

I mean when I start to drive the car within a few meters I can feel the vibration. Yes I know that those lights on the dash will turn on when you start the car but they will turn off immediately when the engine is already on. I'm talking about the ABS light on permanently when I restart the car after using it.

Let's make the question simple. Cold engine (first time in the morning) - start engine - self-diagnostic light come on and then off - It's NORMAL Hot engine (after driving) turned off engine - Restart engine - self diagnostic lights come on and off EXCEPT the ABS light. ABS LIGHT ON PERMANENTLY - That's ABNORMAL.