The use of the radioactive decay for dating purposes is reviewed. The most important dating methods are discussed. They include radioactive time markers (e.g., 137 Cs), cosmogenic radionuclides (e.g., ,4 C, "'Be), decay products of 226 Ra (e.g., 222 Rn, 210 Pb), uranium-thorium-lead chronometers, rubidium-strontium and potassium-argon nuclide pairs, applications of radioactive disequilibrium, dating with fission tracks, and thermoluminescence. Some important results, for instance the age of the Earth and the Moon, are also presented.