  We study the global existence of the singular nonlinear parabolic Anderson
model equation on $2$-dimensional tours $\mathbb{T}^2$. The method is based on
paracontrolled distribution and renormalization. After split the original
nonlinear parabolic Anderson model equation into two simple equations, we prove
the global well-posedness by some a priori estimates and smooth approximations.
Furthermore, we prove the uniqueness of the solution by using classical energy
estimates.
