Let X be a connected and locally path connected topological space. Constructing the sheaf H of higher homotopy groups on X, its some characterizations are examined. Also, it D is shown that H is a regular covering space as a sheaf of abelian groups. Finally, it is B given “General Lifting Theorem” fc» the sheaf H and constructing the (Juotient Sheaf fc» any group subsheaf H' of the sheaf H , it is shown that Q is a covering space as S ..................... " " «’n D sheaf of abelian groups.