Proteins of the NUDIX hydrolase (NUDT) superfamily that cleave organic pyrophosphates are found in all classes of organisms, from archaea and bacteria to higher eukaryotes. In mammals, NUDTs exhibit a wide range of functions and are characterized by different substrate specificity and intracellular localization. They control the concentration of various metabolites in the cell, including key regulatory molecules such as nicotinamide adenine dinucleotide (NAD), ADP-ribose, and their derivatives. In this review, we discuss the role of NUDT proteins in the metabolism of NAD and ADP-ribose in human and animal cells.