  In this article, we study the following fractional $p$-Laplacian equation
with critical growth singular nonlinearity \begin{equation*}
  \quad (-\De_{p})^s u = \la u^{-q} + u^{\alpha}, u>0 \; \text{in}\; \Om,\quad
u = 0 \; \mbox{in}\; \mb R^n \setminus\Om. \end{equation*} where $\Om$ is a
bounded domain in $\mb{R}^n$ with smooth boundary $\partial \Om$, $n > sp, s
\in (0,1), \la >0, 0 < q \leq 1 $ and $\alpha\le p^*_s-1$. We use variational
methods to show the existence and multiplicity of positive solutions of above
problem with respect to parameter $\la$.
