In Greek mythology, Pandora’s husband was Epimetheus. He is the Titan brother of Prometheus, and Hesiod’s story connects Pandora’s arrival with the consequences of Prometheus’s theft of fire from the gods.
The name Epimetheus is commonly interpreted as “afterthought,” contrasting with Prometheus, whose name is associated with forethought. Prometheus warns Epimetheus not to accept gifts from Zeus, but Epimetheus accepts Pandora. In the traditional sequence, Pandora later opens the container holding the evils that spread through the world.
Pandora and Epimetheus are also linked to the next generation of humanity. Their daughter Pyrrha is described in later Greek myth as the wife of Deucalion, who survives a great flood. That flood story is separate from the jar episode but helps place Pandora’s family within Greek mythic genealogy.
The question refers to Hesiodic tradition and later mythographic development. Ancient myths can vary in detail, but Epimetheus is the standard canonical answer for Pandora’s husband.