  The future Large Hadron Electron Collider (LHeC) would enable collisions of
an intense electron beam with either protons or heavy ions at the High
Luminosity-Large Hadron Collider (HL- LHC). With a center of mass energy
greater than a TeV and a high luminosity, the LHeC would be a new-generation
collider for deep-inelastic scattering (DIS) and a significant facility for
precise Higgs physics, complementing pp and electron-positron colliders.
Anomalous hadronic decay signatures of the Higgs Boson, such as those into
three or more partons, are challenging to detect at the LHC due to high
background rates, but they may be observable at the LHeC. This paper presents
the expected sensitivity of the LHeC for the decay channels $H \rightarrow
3jets$ and $H \rightarrow 4jets$, assuming an integrated luminosity of 1
ab$^{-1}$. Our analysis indicates that upper limits on the branching ratio of
the Higgs Boson of 0.35 and 0.17 at 95% confidence limit for these processes
are possible.
