The environment experienced by one generation can influence the phenotypes of future generations. Because parental cues can be conveyed to offspring at multiple points in time, ranging from fertilization to posthatching/parturition, offspring can potentially receive multiple cues from their parents via different mechanisms. We have relatively little information regarding how different mechanisms operate in isolation and in tandem, but it is possible, for example, that offspring phenotypes induced by nongenetic changes to gametes may be amplified by, mitigated by, or depend upon parental care. Here, we manipulated paternal experience with predation risk prior to fertilization in threespine stickleback, Gasterosteus aculeatus, and then examined the potential of paternal care to mitigate and/or amplify sperm-mediated paternal effects. Specifically, we compared (1) offspring of predator-exposed fathers who were reared without paternal care, (2) offspring of predator-exposed fathers who were reared with paternal care, (3) offspring of control (unexposed) fathers who were reared without paternal care and (4) offspring of control fathers who were reared with paternal care. We found that offspring of predator-exposed fathers were less active and had higher cortisol following a simulated predator attack. Although predator-exposed males shifted their paternal care behaviours - reduced fanning early in egg development and increased fanning right before egg hatching compared to control males - this shift in paternal behavior did not appear to affect offspring traits. This suggests that paternal care neither amplifies nor compensates for these phenotypic effects induced by sperm and that nongenetic changes induced by sperm may occur independently of nongenetic changes induced by paternal care. Overall, these results underscore the importance of considering how parents may have multiple nongenetic mechanisms by which they can influence offspring.