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Martingale solutions of stochastic Navier-Stokes equations in 2D and 3Dpossibly unbounded domains, driven by the L\'evy noise consisting of thecompensated time homogeneous Poisson random measure and the Wiener process areconsidered. Using the classical Faedo-Galerkin approximation and thecompactness method we prove existence of a martingale solution. We prove alsothe compactness and tighness criteria in a certain space contained in somespaces of c\`adl\`ag functions, weakly c\`adl\`ag functions and some Fr\'echetspaces. Moreover, we use a version of the Skorokhod Embedding Theorem fornonmetric spaces.

Stochastic Navier-Stokes Equations Driven by Levy noise in unbounded 2D and 3D domains