Abstract: The AC drive type electroluminescent display device comprises a combination of an electroluminescent element, a transistor for driving the electroluminescent element, a source of alternating current, a switching transistor ON/OFF--controlling the first mentioned transistor, and a capacitor. The transistor for driving the electroluminescent element comprises a channel region of a first conductivity type and made of polycrystalline silicon with its grain size increased, first and second impurity diffused layers on the opposite sides of the channel region and a gate electrode overlying a predetermined portion of the channel region via a gate insulating film. The gate electrode is made of polycrystalline silicon diffused with an impurity of a second conductivity type. Offset gate regions are formed between the gate electrode and the first and second impurity diffused layers respectively.