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On 28 October 2021, solar eruptions caused intense and long‐lasting solar energetic particle (SEP) flux enhancements observed by spacecraft located over a wide longitudinal range in the heliosphere. SEPs arriving at Earth caused the 73rd ground level enhancement (GLE) event recorded by ground‐based neutron monitors. In particular, this is also the first GLE event seen on the surface of three planetary bodies, Earth, Moon, and Mars, by particle and radiation detectors as shown in this study. We derive the event‐integrated proton spectrum from measurements by near‐Earth spacecraft and predict the lunar and martian surface radiation levels using particle transport models. Event doses at the lunar and martian surfaces of previous GLE events are also modeled and compared with the current event. This statistical and comparative study advances our understanding of potential radiation risks induced by extreme SEP events for future human explorations of the Moon and Mars. Plain Language Summary: Human beings are considering going back to the Moon and eventually to Mars within the next decades. However, we are still facing one major hurdle "space radiation" which is a significant and unavoidable risk for crews' health, especially for long‐term stays at future lunar or martian stations. In particular, sporadic solar energetic particles (SEPs) generated via extreme solar eruptions may enhance the lunar or martian surface radiation levels to potentially hazardous values. Recent lunar and martian surface and orbital radiation detectors have advanced our understanding of the radiation environment of both planetary bodies. On 28 October 2021 a SEP event occurred and had energies high enough to trigger ground‐level‐enhancement (GLE) events on the surface of Earth, the Moon, and Mars. Combining both measurements and modeling approaches, we study this first GLE event seen on three planetary surfaces and demonstrate its potential SEP radiation risk to humans on the Moon and Mars together with the results of previous GLE events. Key Points: This is the first ground level enhancement event simultaneously measured on Earth, Moon, and MarsWe analyze the radiation measurements at 3 locations and compare with our model predictions based on detected solar energetic particle (SEP) fluxWe show that extreme SEP events can induce much higher (∼100 times) radiation doses on the Moon than on Mars [ABSTRACT FROM AUTHOR]