This paper focuses on the operator-theoretic properties (boundedness and compactness) of Hankel operators on the Fock-Sobolev spaces F p,m in terms of symbols in BMO p r and VMO p r spaces, respectively, for a non-negative integers m, 1 ≤ p < ∞ and r > 0. Along the way, we also study Berezin transform of Hankel operators on Fᴾ,ᵐ .