Let G be a compact Lie group. In [6] May, McClure and Triantafillou have studied the equivariant localization at P, a set of primes, of G-nilpotent based G-spaces. They treated the concept of a G-tower to construct the equivariant localization. Thereafter Yosimura [11,12] generalized it and its existence theorem for G-nilpotent based G-CW complexes using their methods. However since the inverse limit of G-CW complexes is generally not of the G-homotopy type of G-CW complexes, they used the G-CW approximation theorem (cf. [5], [9]). The purpose of this paper is to construct explicitly the equivariant localization after the manner of Mimura, Nishida and Toda [7], Along this line, we generalize the notion of P-sequences to the equivariant one. Namely, our (φ, resequences are associated with an order preserving map φ from Γ(G), the set of conjugacy classes of closed subgroups of G, into the set of sets of primes and a finite subset Γ of Γ(G). Thus our localization is a functor from the homotopy category CWc of G-1-connected based G-CW complexes of G-finite type with finitely many orbit types into the homotopy category of based G-CW complexes with respect to the system of primes φ. This paper is organized as follows. In §2 we construct (φ, resequences. In §§3-4 we show the uniqueness of (φ, resequences. Finally in §5 we establish our localization at φ using (φ, Γ)-sequences.