Objects of the invention are to provide a clock generation circuit and to provide a semiconductor device including the clock generation circuit. The clock generation circuit includes an edge detection circuit, a reference clock generation circuit, a reference clock counter circuit, and a frequency-divider circuit. The reference clock counter circuit is a circuit which outputs a counter value, which is obtained by counting the number of waves of a reference clock signal outputted from the reference clock generation circuit, in a period of time from when the edge detection circuit detects an edge of a signal which is externally inputted to the edge detection circuit to when the edge detection circuit detects the next edge, to the frequency-divider circuit. The frequency-divider circuit is a circuit which frequency-divides the reference clock signal based on the counter value.