We theoretically propose a principle for precise measurement of oscillatory domain wall (DW) by a ferromagnetic Josephson junction, which is composed of a ferromagnetic wire with DW and two superconducting electrodes. The current-voltage curve exhibits stepwise structures, only when DW oscillates in the ferromagnetic wire. The voltage step appears at V = n( /2e)ω DW with the fundamental constant /e, integer number n, and the DW frequency ω DW . Since V can be determined in the order of 10 −9 accuracy, the oscillatory DW will be measured more precisely than present status by conventional method.PACS numbers: 74.50.+r, 76.50.+g Nano-scale magnetic materials for spintronics devices are extensively studied due to many advantages such as enhanced operation speed, low power consumption, and high integration of memory cell. 1,2 Non-volatile memory using a magnetic domain wall (DW) is one example of such devices, 3,4 and many studies are devoted to control DW. 5-13 Among those studies, the oscillatory DW is experimentally observed 7-9 and is examined toward applications, e.g. high sensitive magnetic sensor, nano-scale telecommunication, rf-assisted writing of magnetic bit, and microwave generator. 14-17 Once such devices are realized in a microscopic circuit, one needs to measure the DW frequency more precisely.One example of precise measurement is the Josephson effect. 18 Under irradiation of microwave to the Josephson junction, the current-voltage (I-V ) curve shows step structures at V = n( /2e)ν with microwave frequency ν, integer n, and the ratio of the Plank constant and the elementary charge /e. This structure called Shapiro step 19 is adopted to the voltage standard around the world, 20,21 since the voltage can be determined in the order of 10 −9 accuracy by the precise values of the frequency and the fundamental constants. 20,21 On the other hand, many authors studied the Josephson effect in a hybrid structure of superconductor and ferromagnet. [22][23][24][25][26][27] In this ferromagnetic Josephson junction (FJJ), two superconducting electrodes are separated by a thin ferromagnetic layer, whose thickness is controlled in the order of nano meter. [22][23][24][25][26][27] If DW is put into the ferromagnetic layer of FJJ, it might be possible to measure the oscillatory DW more precisely by using the Josephson effect.