  We investigate the effects of broken scale invariant unparticle at the MUonE
experiment. The choice of the broken model is because the original
scale-invariant model is severely suppressed by constraints from cosmology and
low-energy experiments. Broken scale invariant unparticle model is categorized
into four types: pseudoscalar, scalar, axial-vector, and vector unparticle.
Each uparticle type is characterized by three free parameters: coupling
constant $\lambda$, scaling dimension $d$, and energy scale $\mu$ at which the
scale-invariance is broken. After considering all of the available constraints
on the model, we find that the MUonE experiment is sensitive to (axial-)vector
unparticle with $1 < d < 1.4$ and $1\le \mu \le 12$ GeV.
