A computing in-memory system and computing in-memory method based on a skyrmion race memory are provided. The system comprises a circuit architecture of SRM-CIM. The circuit architecture of the SRM-CIM comprises a row decoder, a column decoder, a voltage-driven, a storage array, a modified sensor circuit, a counter Bit-counter and a mode controller. The voltage-driven includes two NMOSs, and the two NMOSs are respectively connected with a selector MUX. The modified sensor circuit compares the resistance between a first node to a second node and a third node to a fourth node by using a pre-charge sense amplifier. The storage array is composed of the skyrmion racetrack memories. The computing in-memory architecture is designed by utilizing the skyrmion racetrack memory, so that storage is realized in the memory, and computing operation can be carried out in the memory.