Abstract: Distributed quantum computing offers a promising way to break through the bottleneck 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 a distributed quantum computing architecture, and the communication cost it introduces has a significant impact on the success rate of quantum computing. With the emergence of various distributed quantum computing architectures, the research on distributed quantum circuit mapping has attracted widespread attention. Through an analysis and summary of existing works, the development history and the current research status of distributed quantum circuit mapping technology are reviewed, and the future research directions are also pointed out.