Provided is a constant current circuit and a reference voltage circuit with improved line regulation without needing a start-up circuit. The constant current circuit includes: a constant current generation circuit including NMOS transistors and a resistor; a current mirror circuit including a pair of depletion mode NMOS transistors, for allowing a current of the constant current generation circuit to flow; and a feedback circuit for maintaining constant voltages of source terminals of the pair of depletion mode NMOS transistors.