In order to meet the application requirements of Performance Based Navigation (PBN) during the malfunction of the Global Navigation Satellite System (GNSS), the concept of Alternative Positioning Navigation and Timing (APNT) has been proposed. DME/DME navigation based on Distance Measuring Equipment (DME) is considered the most promising solution for APNT. However, the degradation of DME ranging accuracy due to multipath transmission makes the DME/DME navigation method unable to meet the performance requirements of PBN. Based on this, this paper analyzes the performance of Signal Quality Monitoring (SQM) and Receiver Autonomous Integrity Monitoring (RAIM) methods, which are commonly used in GNSS, in monitoring the multipath interference in DME systems, and lays the foundation for real-time DME multipath interference suppression. The experimental results show that for the conventional multipath interference in the DME system, the detection performance of the SQM metric is better, while for the strong multipath interference, the detection performance of the RAIM algorithm is better.