The issue of Superman fathering a child has been one of some debate. Some writers have attempted to establish Kryptonian and Terran DNA as incompatible (in Lois & Clark: The New Adventures of Superman, for example). Others have skirted over the details and written stories that have no problem with the idea of a Kryptonian and human having a biological offspring.
Superman has also fathered children with women of other races. Kryptonian primarily, but also other super-powered beings such as Wonder Woman. And, although she was unsuccessful, Maxima (an Almeracian), tried for years to make Superman her mate with strong suggestions that she carry his child.
This article serves to provide a list of instances in which Superman has been depicted as a father. The means by which include biological procreation, assisted fertilization, and adoption within the broad scope of imaginary stories, alternate realities, possible futures, and outright hoaxes. For Superman's lineage beyond his children, see the article about Superman's Descendants. The page covering Superman Clones may also be of interest.
Lois tells Superman she's pregnant, in the Superman Dailies (1946)
When Bruce Wayne notices Superboy's detached behaviour in the Young Justice episode "Schooled", he tells Clark Kent in a diner that the boy needs his father. Clark storms off, saying he's not his father. (2011)
In All-Star Superman, Lois says "our children will go flying in Metropolis Park" and convinces a skeptical Superman that "there's always a way." Lex Luthor proposes a genetic successor to Superman that would require a human female ovum. Earlier in the film, Lois notices that one of Superman's descendants in the future looks like her dad. (2011)
In the Smallville episode "Scion", when Connor finds out that half of his DNA comes from Clark he asks, "Are you like, my dad?" Clark prefers to think of him as a brother. Later, Clark and Lois share a heart-to-heart about what it's like to raise a super-powered child. Lois says, "I'm sure when we have kids of our own, you will be an amazing father." (2011)