Abstract: Distributed quantum computing offers a promising approach to overcoming the challenges of scaling the number of qubits in NISQ (noisy intermediate-scale quantum) devices. Distributed quantum circuit mapping technology is the key to efficiently executing quantum circuits using distributed quantum computing architecture, and the communication cost introduced has a significant impact on the success rate of quantum circuits. With the emergence of various distributed quantum computing architectures, research on distributed quantum circuit mapping has attracted widespread attention. Through an analysis and summary of existing research work, the development history and current research status of distributed quantum circuit mapping technology are reviewed, and future research directions are also pointed out.