An image fixing apparatus for heating and fixing an unfixed image formed on a recording material, comprising a heater including a substrate, a first electrode provided on one side of the substrate and a second electrode provided on the other side of the substrate; and a connector, connected with the heater, for receiving electric power, the connector including an electrically insulative housing, and a contact terminal provided inside the housing and having first spring contact contacted to the first electrode and a second spring contact contacted to the second electrode, wherein the contact terminal is swingable relative to the housing.