To remove a stuck brake bleeder nipple, use Vice-Grips.

They will remove nearly anything.

definitely, and if it feels like it is going to snap off, then heat the area up with an oxy torch (trying not to get too close to a brake hose of course. Usually if it's corroded/rusted tight, the application of heat will 'unstick it' - then reapply the vice grips whilst teh bleeder/surrounding caliper wall is still quite warm and undo it.

I am also looking for such tools which help me for remove a stuck brake bleeder nipple.I often require it so that this is helpful to me even I am going to get at very cheap price so I would like to purchase it.There are diffrent size mentioned here so I would go with small size.