I will first introduce lattice QCD and how it allows the solution of the Feynman path integral formulation of quantum field theories using large scale numerical simulations. I will then describe how the calculations of nucleon correlations functions are performed. In the second part I will describe our recent results (charges, form factors, moments) on nucleon structure, the pion-nucleon sigma term and on the contributions of novel CP violating interactions (the theta term, quark EDM, quark chromo EDM) to the neutron electric dipole moment(EDM).