Yes, as long as you are just burning wood (no plastics, pressure treated lumber ect) the ash is a good soil amendment. Basically you are recreating the natural process a forest fire does in rapidly breaking down fallen trees into basic nutrients.
A word of caution, I would not put the ashes around plants like some people do with grass clippings. That much in a concentrated area might not be good for the soil structure, pH balance, ect. Instead, I work mine into my compost pile.
ISA certified Arborist