We propose a simple nonconforming virtual element for plate bending problems which has few local degrees of freedom and provides the optimal convergence in H2-norm Moreover, we prove the optimal error estimates in H1- and L2-norm. The nonconforming virtual element is constructed for any order of accuracy, but not C0-continuous. It is worth mentioning that, for the lowest-order case on triangular meshes the simplified nonconforming virtual element coincides with the well-known Morley element, so it can be taken as the extension of the Morley element to polygonal meshes. Finally, we verify the optimal convergence in H2-norm for the nonconforming virtual element by some numerical tests.

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