It is well established that deictic gestures, especially pointing, play an important role in children's language development. However, recent evidence suggests that other types of deictic gestures, specifically show and give gestures, emerge before pointing and are associated with later pointing. In the present study, we examined the development of show, give, and point gestures in a sample of 47 infants followed longitudinally from 10 to 16 months of age and asked whether there are certain ages during which different gestures are more or less predictive of language skills at 18 months. We also explored whether parents' responses vary as a function of child gesture types. Child gestures and parent responses were reliably coded from videotaped sessions of parent-child interactions. Language skills were measured at 18 months using standardized (Mullen Scales of Early Learning) and parent report (MacArthur-Bates Communicative Development Inventory) measures. We found that at 10 months, show+give gestures were a better predictor of 18-month language skills than pointing gestures were, yet at 14 months, pointing gestures were a better predictor of 18-month language skills than show+give gestures. By 16 months, children's use of speech in the interaction, not gesture, best predicted 18-month language skills. Parents responded to a higher proportion of shows+gives than to points at 10 months. These results demonstrate that different types of deictic gestures provide a window into language development at different points across infancy.