Oxford University in collaboration with ISIS neutron facility have developed a new technique for imaging strain in engineering components in three dimensions. We termed this technique "Neutron strain tomography". The framework for developing neutron strain tomography is significantly more complex than standard absorption tomography. However, we have made significant progress in advancing this technique. In our first experiments we assumed model forms for an unknown axisymetric strain distribution [1]. We then generalised this method by using fundamental compatibility relations from solid mechanics to link the in-plane strain components [2]. Recently we made initial attempts to apply the method to a non-axisymmetric strain distribution [3]. This proposal forms a part of a long-term effort in developing strain tomography into a routine and widely available tool for neutron strain imaging.