Radiation-induced materials degradation is a key concern in limiting the performance of nuclear materials. The formation of nanoscale void and gas bubble superlattices in metals and alloys under radiation environments can effectively mitigate radiation-induced damage, such as swelling and aid the development of next generation radiation tolerant materials. To effectively manage radiation-induced damage via superlattice formation, it is critical to understand the microstructural changes and strain induced by such superlattices. In our approach, we utilize multi-reflection Bragg coherent diffraction imaging (BCDI) to quantify the full strain tensor induced by void superlattices in iron (Fe) irradiated chromium substrate, a model metallic system. Multi-reflection BCDI is a powerful method for detailed investigation of the strain and microstructural changes caused by radiation-induced defects during Fe ion implantation, a key fundamental understanding that is inaccessible via current conventional techniques. Our approach provides a quantitative estimation of radiation-induced three dimensional (3D) strain generated at the microscopic level and predicts the number density of defects with a high degree of sensitivity in bulk metallic substrates. Such quantitative evaluation of 3D strain in nuclear materials can have a major impact on predicting materials performance and degradation in radiation environments and can revolutionize design of radiation tolerant materials.