"New-Generation Power-Free Tsunami Warning System" uses a high-speed parallel calculation to complete the Green function matrix of the unit tsunami before the disaster, and establish a tsunami impact strength analysis map (IIA), and then establish an equivalent Earthquake moment scale, and the earthquake-tsunami relationship diagram (STR) is then established base on it. When an earthquake destroys the power system and is followed by a tsunami, accurate tsunami warning information can be obtained, providing Taiwanese people with double protection.The scientific breakthrough of the "New-Generation Power-Free Tsunami Warning System" lies in the establishment of the unit tsunami source matrix, the solution of the Green function, the acquisition of the maximum wave height of the study site, the establishment of the IIA map, the conversion of the Source-Scaling Relationship, the target tsunami wave height, and the production of Seismic-Tsunami Relationship diagrams. These are the first in the academic world. This tsunami warning system can be operated individually, and the tsunami threat can be known from STR diagrams. Its stability, power-free, and maintenance-free are its unique features.The main purpose of the "New-Generation Power-Free Tsunami Warning System" is to overcome the costly construction and maintenance of traditional buoy systems, and the failure of passing the tsunami information due to the failure of electricity. Through the production system of STR diagrams, the residents in various coastal areas have basic information of tsunami treat. This system is also suitable for promotion to AIA and the neighboring countries so that Taiwan’s soft power can help other countries survive the tsunami threat through this tsunami warning system.