  In this paper, we introduce the classification of equivariant principal
bundles over the 2-sphere. Isotropy representations provide tools for
understanding the classification of equivariant principal bundles. We consider
a $\Gamma$-equivariant principal $G$-bundle over $S^2$ with structural group
$G$ a compact connected Lie group, and $\Gamma \subset SO(3)$ a finite group
acting linearly on $S^2.$ We prove that the equivariant 1-skeleton $X \subset
S^2$ over the singular set can be classified by means of representations of
their isotropy representations. Then, we show that equivariant principal
G-bundles over the $S^2 $ can be classified by a $\Gamma$-fixed set of homotopy
classes of maps, and the underlying $G$-bundle $\xi$ over $S^2$ can be
determined by first Chern class.
