The present invention provides modified cycloalkyne compounds; and method of use of such compounds in modifying biomolecules. The present invention features a cycloaddition reaction that can be carried out under physiological conditions. In general, the invention involves reacting a modified cycloalkyne with an azide moiety on a target biomolecule, generating a covalently modified biomolecule. The selectivity of the reaction and its compatibility with aqueous environments provide for its application in vivo (e.g., on the cell surface or intracellularly) and in vitro (e.g., synthesis of peptides and other polymers, production of modified (e.g., labeled) amino acids).