The ubiquitin-dependent degradation of a test protein β-galactosidase (βgal) is preceded by ubiquitination of βgal. The many (from 1 to more than 20) ubiquitin moieties attached to a molecule of βgal occur as an ordered chain of branched ubiquitin-ubiquitin conjugates in which the carboxyl-terminal Gly⁷⁶ of one ubiquitin is joined to the internal Lys⁴⁸ of an adjacent ubiquitin. This multiubiquitin chain is linked to one of two specific Lys residues in βgal. These same Lys residues have been identified by molecular genetic analysis as components of the amino-terminal degradation signal in βgal. The experiments with ubiquitin mutated at its Lys⁴⁸ residue indicate that the multiubiquitin chain in a targeted protein is essential for the degradation of the protein.