If $B$ is a three-dimensional tropical affine manifold with singularities such that $\Gamma$ is trivalent and the monodromy of $\Lambda$ at each vertex is one of the above two types, then $f_{0}:X(B_{0})\rightarrow B_{0}$ can be compactified to a topological fibration $f:X(B)\rightarrow B$. Dually, $\check{f}_{0}:\check{X}(B_{0})\rightarrow B_{0}$ can be compactified to a topological fibration $\check{f}:\check{X}(B)\rightarrow B$. Both $X(B)$ and $\check{X}(B)$ are topological manifolds.