Single-molecule fluorescence imaging is a powerful method to measure reversible reaction kinetics, allowing one to monitor the bound state of individual probe molecules with fluorescently labeled targets. In the case of DNA hybridization, previous studies have shown that the presence of a fluorescent label on a target strand can exhibit significant influence on the stability of a DNA duplex that is formed. In this work, we have developed a super-resolution imaging method to measure the hybridization kinetics of unlabeled target DNA that compete with a fluorescently labeled tracer DNA strand to hybridize with an unlabeled probe DNA immobilized at a surface. The hybridization of an unlabeled DNA target cannot be detected directly, but its presence blocks the immobilized probe DNA, influencing the measured time intervals between labeled DNA hybridization events. We derive a model for competitive hybridization kinetics to extract the association and dissociation rate constants of the unlabeled species from the distribution of time intervals between hybridization events of the labeled tracer DNA at individual localized DNA probe sites. We use this methodology to determine the hybridization kinetics of a model 11-mer unlabeled target DNA strand and then determine how five different fluorescent labels attached to the same target DNA strand impact the hybridization kinetics. Compared to the unlabeled target, these labels can slow the association and dissociation rates by as much as a factor of 5. The super-resolution time-interval methodology provides a unique approach to determining fundamental (label-free) rates of DNA hybridization, revealing the significant influence of fluorescent labels on these kinetics. This measurement concept can be extended to studies of other reversible reaction systems, where kinetics of unlabeled species can be determined from their influence on the reaction of a labeled species with localized probe molecules on a surface.