The existence of weak solutions for critical p-biharmonic equations with sign-changing weight function and Hardy term was studied by using mountain pass lemma, concentration-compactness principle and Hardy’s inequality. Firstly, the geometric conditions of mountain pass lemma are verified. Next, if $0 < \mu < {\mu _0}$, ${(PS)_c}$ condition is satisfied when mountain level $c < \dfrac{2}{N} S^{N / 2 p}-\mu^{{p^*} /\left(p^*-q\right)}G$. Thus, it is proved that there exists at least one nontrivial weak solution for the given critical ${{p - }}$biharmonic equations.