GE SpaceMaker washing machine does not stop filling.

Claim on the guarantee as it has happened within the warranty. You need a new Water Inlet Valve. The solenoid isn't closing shut. The other possibility is that your home water pressure is too high. A plumber can test that and fit a pressure reduction diaphragm.

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Thanks for choosing FixYa and welcome. This sounds like a problem with the water level switch in the washer. It controls the amount of water entering the tub. It is probably defective. You may want tomake sure the switch is getting power first by testing the wires with a voltage meter.

you need to clean the pressure swith hose on the lft side of tub small rubber hose stop use in liqid soap

A quick test to split up your possible trouble makers:
Let the washing machine fill with water and when the washer is about 1/2 full of water unplug the washers power cord from the wall outlet. If the water keeps flowing into the washing machine with the power cord pulled the fill valve ( where the hot and cold hoses are attached to your washer ) has mechanically stuck open and will have to be replaced. If the water shuts off when you remove it's power cord from the wall outlet, try plugging the washer in and out a couple more times and if the water stops each time the fill valve indicates as being good = on to the next trouble makers.
The water level control is responsible for shutting off the power to the fill valve and redirects the power to the timer to start the washing machine running once the correct water level has occurred. The WLC itself could be bad. The WLC uses a hose that the water level pushes air into to tell the WLC what the water level is inside the washing machine...the hose could be pinched, fallen off of the tub spout, has a pin hole, clogged up with calcium or soap curd and the WLC cannot "sense" or "tell" what is happening inside the washer.

If your washer is filling until it overflows without agitating, and will stop filling if you turn machine off or interupt power to it, the machine is not seeing that it is full. This may be caused by a blocked water level tube (usually some "goop" where it connects to the tub), a hole in the water level tube (look near the suspension rod or where a mouse may have chewed a hole in it), or a bad water level switch. You do not state a model number, or even if it is a top loading or front loading machine, so that is the most information I am able to provide at this point.

the water level sensor is not working and needs to be replaced

HI, there is a pressure switch for the water level regulation that seems to be malfunctioning in your unit at this time. You will need to replace this switch asap. this will correct this issue.

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Could it be ...this happens only when it is overloaded or the load is out of balance. Please clarify.

If this is not the case .. the water level hose running from the outside tank to the water level switch is likely not making a good seal (otherwise the water level switch itself is bad). Sometimes with age the hose forms a crack in it near or at the end where it connects. This could happen at either end of the hose. Also if you have removed the control panel recently (for any reason) you may have (not knowingly) pulled the water level hose loose from the water level switch. Just slide the hose back onto the tube of the switch before putting the control panel back in place and all will be fine after the first filling of the tub (it may take one filling cycle to build the needed vacuum back up in the hose). Unless of course in the process you have broken the tube off the switch where the hose goes on. In this case replace the switch.

Hose must fit tight on switch and tub connection-make sure it has no defects in it. If machine fully drained then did not get to correct water level when restarted then water level switch is bad. Please contact me if you need further help or leave feedback if appropriate as that is how I get paid. Thanks for letting me help you!

You have a problem with the water level switch.  It is located in the base of the machine below the tub.  Replace it and you'll be fine.