We prove that given any ϵ> 0 , a non-zero adelic Hilbert cusp form f of weight k=(k1,k2,…,kn)∈(Z+)n and square-free level n with Fourier coefficients Cf(m) , there exists a square-free integral ideal m with N(m)≪k03n+ϵN(n)6n2+12+ϵ such that Cf(m) ≠ 0. The implied constant depends on ϵ, F.