In geometry there is a well-known notion of a covering space. A classical example is the following universal covering: p : R → S^1, t → exp(it). The space of jets can also be considered as a covering of a (super)manifold in the category of graded (super)manifolds. Coverings in the category of graded (super)manifolds we call graded. Another example of this notion is a generalization of a construction of the first obstruction class for splitting a supermanifold suggested by Donagi and Witten in “Super Atiyah classes and obstructions to splitting of supermoduli space”. Our talk is devoted to the notion of graded covering in supergeometry and applications of this idea.