Dynamics of magnetization M driven by microwave are derived analytically from the nonlinear Landau–Lifshitz–Gilbert equation. Analytical M and susceptibility are obtained self-consistently under a positive circularly polarized microwave field,
h
=
(
h
cos
ω
t
,
h
sin
ω
t
,
0
)
, with frequency
ω
, which is perpendicular to a static field,
H
=
(
0
,
0
,
H
)
. It is found that the orbital of M is always a cone along H. However, with increasing h the polar angle
θ
of M initially increases, then keeps 90° when
h
⩾
h
0
=
α
ω
/
γ
in ferromagnetic resonance (FMR) mode, where
α
is Gilbert damping constant and
γ
is gyromagnetic ratio. These effects result in a nonlinear variation of FMR signal as h increases to
h
⩾
h
0
, where the maximum of resonance peak decreases from a steady value, linewidth increases from a decreasing trend. These analytical solutions provide a complete picture of the dynamics of M with different h and H.