Despite the importance of native pollinators in agricultural systems, little is known about the potential competitive interactions among them or the way they exploit crops' floral resources. This study determines the temporal use of floral resources by, and interspecific interactions between, native bees and Apis mellifera L. (Hymenoptera: Apidae) in experimental plots of squash, Cucurbita moschata (Duchesne ex Lam.) Duchesne ex Poir. (Cucurbitaceae), and watermelon, Citrullus lanatus (Thunb.) (Cucurbitaceae). General and specific niche overlap analyses were done to determine whether temporally differential use of floral resources occurred. Direct displacement interactions at the floral level were quantified. The species with the greatest abundances were Peponapis limitaris Cockerell (Apidae), Partamona bilineata Say (Apidae), and A. mellifera. Overall, the niche overlap analyses in both crops suggested that floral resources are not used simultaneously by different bee species. Winner events during aggressive encounters suggested a hierarchy among bee species, with A. mellifera being one of the species with more winner encounters in both crops. It is suggested that those deciding whether or not to introduce A. mellifera into crops should consider whether the abundance of native bee species is sufficient to ensure efficient fruit production.