A memory circuit and a memory programming method adapted to program flash memory are provided. The memory circuit includes a charge pumping circuit, a voltage regulator, a voltage sensor, and a plurality of switch circuits. The charge pumping circuit generates a pumping voltage and a pumping current. The voltage regulator is coupled to the charge pumping circuit and generates a programming voltage and a programming current to program the flash memory according to the pumping voltage and the pumping current. The voltage sensor is coupled to the voltage regulator to monitor a voltage value of the programming voltage. Each of the plurality of switch circuits includes a first terminal coupled to the voltage sensor and a second terminal coupled to the flash memory. A quantity of the plurality of switch circuits that are turned on is determined by the voltage value of the programming voltage.