I have one of GRX-TVI connected with 0-10v current source dimmer, but fail to dim my 24v led light strip, what should I do?

Here (main three links) possibly, but spares are not listed anywhere, and their main business appears to be Gazebos! My first thought was return it under warranty as LED units are supposed to have a life of 7 to 10 years.

https://www.google.com/search?q=Allen+%2B+Roth+20268-000+parts
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Mostly is the back lights strips, you may use a led check to check it out.

http://www.bing.com/search?FORM=UP97DF&PC=UP97&q=high+power+led+dimmer

hi
find out the what voltage value of the led ( are they ac. or dc. ) and upon those findings you buy the dimmer switch
for dimming

If you can't turn them off, then chances are that the dimming element within the master dimmer shorted. Some dimmers can get triggered by a hellacious bulb blow-out where a surge of current will ruin the semiconductors in the dimmer and, basically, short it out. If that's the case, I can't guarantee that nothing was broken in the companion, but zero dimming capability usually means the master dimmer.

Also, because its shorted, there's not voltage left around for the dimmer's to use to power up themselves - that's probably why the LEDs on neither device are turned on anymore. Replacing the dimmer should fix that.

The answer is NO. You need a Trailing Edge dimmer to control LEDs.

The Phillips master LED spot manual says:
Lighting controls: bulbs are dimmable 20-100% with ""select"" Trailing Edge RC devices
http://www.prismaecat.lighting.philips.com/FredhopperPDFWebServiceInter/docts/1d8ea75f-e889-424d-92dc-450fbeb85f6a/Smart_LED_Spot_da.pdf

The Legrand pro21 manual does not say anything about being a Trailing edge dimmer.
http://www.legrand.com.gr/gr/gr/liblocal/internet_greece/PDFS/NOTICES/IOBL/ROOSTATES/775637EN.pdf

Legrand diagrams show what appears to be incandescent bulbs, and say nothing about LEDs

LEDs cannot be dimmed as ordinary incandescent (tungsten) bulb.

More reading:
Wikipedia article on dimmers includes technical stuff on Trailing edge dimmers
http://en.wikipedia.org/wiki/Dimmer

2 sites show LEDs bulbs that dim:: both seem new ...
http://news.thomasnet.com/fullstory/LED-Bulbs-feature-smooth-dimming-range-566574

http://www.earthled.com/lumiselect-dimmable-led-light-bulbs.html

Yes this is not unusual. Any triac conrol device must have a load large enough to turn it off. I have some switches operating compact flourescnts that do the same thing. My cure was to add one incandescent lamp on same switch, and my load devices work fine too.

If you put a CFL in it, they are not dimmable. If it is a standard light bulb, it should not affect the dimmer.

Certain dimmers can control standard incandescent lamps that use 120 volts while other dimmers can control low voltage xenon or halogen light sources that use 12 or 24 volts.