Nuclear power has applications for space exploration due to its high energy density and ability to provide power for decades. Nuclear fission and fusion reactions can be used to provide electricity, heat, and propulsion. Current technologies using radioisotope thermoelectric generators and heat generators have powered missions for over 25 years. Future missions could use more advanced fission and fusion reactors to power longer missions like the proposed Jupiter Icy Moons Orbiter, and innovative designs may allow for interstellar travel using fission fragments or various fusion propulsion methods. Nuclear power provides benefits for space exploration by allowing longer missions with less radiation exposure compared to chemical fuels.