  \noi In this article, we study the existence of non-negative solutions of the
following polyharmonic Kirchhoff type problem with critical singular
exponential nolinearity $$ \quad \left\{ \begin{array}{lr}
  \quad -M\left(\displaystyle\int_\Omega |\nabla^m
u|^{\frac{n}{m}}dx\right)\Delta_{\frac{n}{m}}^{m} u = \frac{f(x,u)}{|x|^\alpha}
\; \text{in}\; \Om{,}
  \quad \quad u = \nabla u=\cdot\cdot\cdot= {\nabla}^{m-1} u=0 \quad \text{on}
\quad \partial \Om{,} \end{array} \right. $$ where $\Om\subset \mb R^n$ is a
bounded domain with smooth boundary, $n\geq 2m\geq 2$ and $f(x,u)$ behaves like
$e^{|u|^{\frac{n}{n-m}}}$ as $|u|\ra\infty$. Using mountain pass structure and
{the} concentration compactness principle, we show the existence of a
nontrivial solution. %{OR}\\ In the later part of the paper, we also discuss
the above problem with convex-concave type sign changing nonlinearity. Using
{the} Nehari manifold technique, we show the existence and multiplicity of
non-negative solutions. \medskip
