Existing cyber deception technologies (e.g., operating system obfuscation) can effectively disturb attackers' network reconnaissance and hide fingerprint information of valuable cyber assets (e.g., containers). However, they exhibit ineffectiveness against skilled attackers. In this study, a proactive fingerprint deception method is proposed, termed as Continuously Anonymizing Containers' Fingerprints (CACF), which modifies the container's fingerprint in the cloud resource pool to satisfy the anonymization standard. As demonstrated by experimental results, the CACF can effectively increase the difficulty for attackers.