The discovery and exploration of bioorthogonal chemical reactions and the biosynthetic incorporation of their components into biomolecules for specific labelling is an important challenge. Here we describe the reaction of a phenyl sydnone 1,3-dipole with a bicyclononyne dipolarophile. This strain-promoted reaction proceeds without transition metal catalysis in aqueous buffer, at physiological temperature, and pressure with a rate comparable to that of other bioorthogonal reactions. We demonstrate the quantitative and specific labelling of a genetically encoded bicyclononyne with a sydnone fluorophore conjugate, demonstrating the utility of this approach for bioorthogonal protein labelling.