For a fixed rational prime number p, consider a chain of finite extensions of fields K₀/ℚ_p, K/K₀, L/K, and M/L, where K/K₀ is an unramified extension and M/L is Galois extension with Galois group G. Suppose that a one-dimensional Honda formal group F over the ring O_K relative to the extension K/K₀ and a uniformizing element π ∈ K₀ is given. This paper studies the structure of F(m_M) as an OK0[G]-module for an unramified p-extension M/L provided that WF∩F(mL)=WF∩F(mM)=WFs for some s ≥ 1, where W_F ^s is the π^s-torsion and W_F = ∪_n=1 ^∞W_F ⁿ is the complete π-torsion of a fixed algebraic closure K^alg of the field K.