Henry (Jack Nance) resides alone in a bleak apartment surrounded by industrial gloom. When he discovers that an earlier fling with Mary X (Charlotte Stewart) left her pregnant, he marries the expectant mother and has her move in with him. Things take a decidedly strange turn when the couple's baby turns out to be a bizarre lizard-like creature that won't stop wailing. Other characters, including a disfigured lady who lives inside a radiator, inhabit the building and add to Henry's troubles.