Why won't the GFCI receptacle reset after pushing the RESET button and then the TEST button?

From what this question is saying, the TEST button is doing its job - it is testing ( = checking) that the GFCI is working correctly.

After you have tested the device by pressing the TEST button you should be able to press the RESET button again - and DO NOT PRESS THE TEST button again - and everything should work.

Either your GFCI is bad [in which case replace it] or it is working perfectly.

<><><>

It is probably working. My sister had a similar problem. She just kept resetting until it held, but every time she got in her hot tub she got shocked.

Luckily she wasn't killed. It turned out to be the fly weights shorting out against the capacitor wires, turning the water into the hot leg. Don't mess around with this kind of problem.

<><><>

Think about this question, read it word for word! Again we are asked to answer somebody's homework question...

OR if it is a real question, you have a problem and should call a professional licensed electrician.

These are devices that protect you and your family - if you have to ask how to fix one, this is not a DIY project!

<><><>

As always, if you are in doubt about what to do, the best advice anyone should give you is to call a licensed electrician to advise what work is needed.

Before you do any work yourself,

on electrical circuits, equipment or appliances,

always use a test meter to ensure the circuit is, in fact, de-energized.

IF YOU ARE NOT ALREADY SURE YOU CAN DO THIS JOB

SAFELY AND COMPETENTLY

REFER THIS WORK TO QUALIFIED PROFESSIONALS.