The issue of Superman fathering a child has been one of some debate. In the case of procreation with an Earth woman, it has been established in recent comics continuity that Kryptonian and Terran DNA are incompatible (this was also the prognosis in Lois & Clark: The New Adventures of Superman). However, this has not always been the case in the comics, or other forms of media.
Superman has also fathered children with women of other races. Kryptonian primarily, but also other super-powered beings such as Wonder Woman.
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 and adoption, as well as 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.
An adopted son, Tommy in Superman #57 (Mar/Apr 1949)
Adopted Baby Bliss in Action Comics #217 (June 1956)
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)