  This paper analyses the nonconforming Morley type virtual element method to
approximate a regular solution to the von K\'{a}rm\'{a}n equations that
describes bending of very thin elastic plates. Local existence and uniqueness
of a discrete solution to the non-linear problem is discussed. A priori error
estimate in the energy norm is established under minimal regularity assumptions
on the exact solution. Error estimates in piecewise $H^1$ and $L^2$ norm are
also derived. A working procedure to find an approximation for the discrete
solution using Newtons method is discussed. Numerical results that justify
theoretical estimates are presented.
