We investigate the halo bias in the case where the primordial curvature fluctuations, Φ, are sourced from both a Gaussian random field and a Gaussian-squared field, as Φ(x) = φ(x)+ψ(x)²−⟨ψ(x)²ångle, so-called ``ungaussiton model''. We employ the peak-background split formula and find a new scale-dependence in the halo bias induced from the Gaussian-squared field.