This paper is concerned with the Liouville type theorem for stable weak solutions to the following weighted Kirchhoff equations: −M(∫RNξ(z)|∇Gu|2dz)divG(ξ(z)∇Gu)=η(z)|u|p−1u,z=(x,y)∈RN=RN1×RN2,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document} $$\\begin{aligned}& -M \\biggl( \\int_{\\mathbb{R}^{N}}\\xi(z) \\vert \\nabla_{G}u \\vert ^{2}\\,dz \\biggr){ \\operatorname{div}}_{G} \\bigl(\\xi(z) \\nabla_{G}u \\bigr) \\\\& \\quad=\\eta(z) \\vert u \\vert ^{p-1}u,\\quad z=(x,y) \\in \\mathbb{R}^{N}=\\mathbb{R}^{N_{1}}\\times\\mathbb{R}^{N_{2}}, \\end{aligned}$$ \\end{document} where M(t)=a+bt^{k}, tgeq0, with a,b,kgeq0, a+b>0, k=0 if and only if b=0. Let N=N_{1}+N_{2}geq2, p>1+2k and xi(z),eta(z)in L^{1}_{mathrm{loc}}(mathbb{R}^{N})setminus{ 0} be nonnegative functions such that xi(z)leq C|z|_{G}^{theta} and eta(z)geq C'|z|_{G}^{d} for large |z|_{G} with d>theta-2. Here alphageq0 and |z|_{G}=(|x|^{2(1+alpha)}+|y|^{2})^{frac{1}{2(1+alpha)}}. operatorname{div}_{G} (resp., nabla_{G}) is Grushin divergence (resp., Grushin gradient). Under some appropriate assumptions on k, θ, d, and N_{alpha}=N_{1}+(1+alpha)N_{2}, the nonexistence of stable weak solutions to the problem is obtained. A distinguished feature of this paper is that the Kirchhoff function M could be zero, which implies that the above problem is degenerate.