I have made the model and textured it. I did not get where im getting this black spots on it. I have attach my model.
The cause it that your texture fits the original mesh too precisely and not your subdivided mesh. For a quick fix, you should edit your UV map so that there are some margin between the uv and the texture (make the border of the uv map a little inset than the border of the texture)
If you made your texture by baking, find a method to add a margin.