  In this paper, we derive decay estimates near isolated singularities of
3-dimensional (3d) Yang-Mills-Higgs fields defined on a fiber bundle, where the
fiber space is a compact Riemannian manifold and the structure group is a
connected compact Lie group. As an application, we obtain removable singularity
theorems for 3d Yang-Mills-Higgs fields under different types of energy
conditions, which generalizes classical removable singularity theorems for 3d
Yang-Mills fields~\cite{S84,SS84} and 3d harmonic maps~\cite{L85}.
