A stepfather or stepdad is the husband of one's biological mother, and not one's biological father.
Though less common in literature than evil stepmothers, there are also cases of evil stepfathers, such as in the fairy tales The Gold-Bearded Man (in a plot usually featuring a cruel father) and The Little Bull-Calf. One type of such tale features a defeated villain who insists on marrying the hero's mother and makes her help him trick the hero and so defeat him. Such tales include The Prince and the Princess in the Forest and The Blue Belt, although the tales of this type can also feature a different female relation, such as the stepsister in The Three Princes and their Beasts.
In literature, evil stepfathers include Claudius in Hamlet (though his role as uncle is more emphasized), Murdstone in Charles Dickens's David Copperfield, the classic Twilight Zone episode "Living Doll", the King from the movie Radio Flyer, and Gozaburo Kaiba (who adopted Seto and Mokuba Kaiba) from Yu-Gi-Oh!, as well as The Stepfather, films. The film, Sucker Punch features a sexually abusive stepfather. In a classic early episode of South Park, Stan is advised, by Bill Cosby, to "snatch up" his evil stepfather in a bear trap.
In his opera La Cenerentola, Gioacchino Rossini inverted the tale of Cinderella to have her oppressed by her stepfather. His motive is made explicit, in that providing a dowry to Cenerentola would cut into what he can give to his own daughters. An analogous male figure may also appear as a wicked uncle; like the stepmother, the father's brother may covet the child's inheritance for his own children, and so maltreat his nephews or nieces. Modern films, however, seem to cast stepfathers in a somewhat kinder light, implying honorable men who marry divorced women or single mothers make good stepfathers.