If I set the material on the technique 'Blend Light Leaf', this material does not work in conjunction with the fog. That means fog does not coincide with the material objects.
What is wrong?

Can anyone help me?

which fog do you mean?
Sky fog
or
Fog?

Fog won't work because blended objects don't output depth needed for Fog

We use global object 'Fog'.
How can I change this awful effect, when fog works on everything except objects with material 'Blend Light Leaf'?

Blend Light and Test Blend Light based materials will now receive global Fog in the next SDK release.

Thanks!