  The discovery of Higgs boson plays a crucial role in understanding the
electroweak symmetry breaking sector. From now on, solving the dynamics of this
sector needs precision measurements of the couplings of the Higgs boson to the
standard model particles. In this work, we investigate the constrains on the
anomalous $HWW$ and $HWW\gamma$ couplings, described by the dimension-six
operators in the effective Lagrangian, in a high energy envisaged ep collider
which is called Large Hadron electron Collider (LHeC). We obtained the 95 %
confidence level limits on the couplings of anomalous $HWW$ and $HWW\gamma$
vertex, with the design luminosity of 10 fb$^{-1}$ and electron beam energy of
140 GeV, through $ep\to \nu H +X$, $\gamma p\to W H +X$ and $e\gamma\to W H
\nu$ processes by considering the new physics energy scale to be $\Lambda$= 1
TeV. The sensitivity of the LHeC to the new physics scale is also briefly
discussed.
